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Thousands of users are using our software to conquer their algebra homework. Here are some of their experiences:

I think the program is tremendous. We have only been using it a week, but it has already paid for itself. We are currently using it to "check" homework assignment on a child struggling in Algebra 2 in High School. I set it to save "99" steps and we can see every step of the solution. The explanations at each step are invaluable, since it has been many years since my Algebra days. We haven't had a problem yet it couldn't solve. It is pretty user friendly, and, as long as you enter the problem correctly, there are no problems. Next year we have another child starting High School and Algebra 1. I will be looking forward to the next release of the Algebrator. It is great!
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Thank you for visiting our site! You landed on this page because you entered a search term similar to this: factor polynomial college algebra two variable ax by. We have an extensive database of resources on factor polynomial college algebra two variable ax by. Below is one of them. If you need further help, please take a look at our software "Algebrator", a software program that can solve any algebra problem you enter!


Up Absolute Value - the absolute value of a real number a, denoted by lal, is the distance between a and 0 on the number line.

Additive Identity - 0, since 0 added to any number gives that number. ( a + 0 = a)

Algebraic Expressions -variables and numbers connected by mathematical operations.

Bar graph -a 2-dimensional picture that consists of individual rectangles(or bars).

Base -the quantity being raised to a power.

Binomial -a polynomial with exactly two terms.

Coefficient -the number mulitiplied by a variable.

Complementary angles -two angles whose sum is 90 degrees.

Constant-a number that does not change value.

Degree of a term(in one variable) -the exponent.

Degree of a polynomia l-the greatest degree of any term of the polynomial.

Difference of two Squares -a polynomial where the two terms are perfect squares separated by subtraction.

Equivalent equations -two equations that have the same solution.

Exponent -the number of times the base is used as a factor.

Exponential expression -a term that includes a coefficient, a variable, and a power of that variable.

Exponential Notation -an expression that includes a quantity being raised to a power.

Equations -a statement that two expressions are equal.

Factor -in a product, each number being multiplied is called a factor.

Factoring by grouping -when four or more terms are given in a polynomial try working with two terms at a time and then find the GCF.

Factoring a polynomial -the process of writing a polynomial as a product.

Formula -a mathematical statement that describles the relationship among numbers or variables.

Graph of a linear equation - a 2-dimensional representation which results in a staight line.

Greatest common factor -(GCF) the product of the largest numerical factor common to all terms and the variable factor  raised to the lowest exponent in all terms.

Grouping Symbol -parentheses, brackets, or braces used to collect mathematical expressions.

Hypotenuse -the side opposite the right angle of a triangle.

Identity -an equation that has an infinite number of solutions.

Inequality symbo -any of the following symbols used to denote the relationship between two mathematical statements < , >, < , >.

Integers -    {..., -2, -1, 0, 1, 2, 3,...}

Irrational Numbers - nonrational numbers

Least common denominator - (LCD) a polynomial whose factors include all the factors of the denominators, each raised to the highest power from any of the given denominators.

Leg -the sides adjacent to the right angle of a triangle.

Like terms -terms that have the same variable raised to the same power (also called similar terms).

Line graph -a 2-dimensional picture that consists of points connected by a line.

Linear equation - in one variable can be written in the form Ax + B = C where A, B, and C are real numbers and A 0.

Linear equation in two variables - can be written in the form Ax + By = C where A, B, and C are real numbers and A 0 and B 0.

Monomia l -a polynomial with exactly one term.

Multiplicative Identity - the identity is 1. (a 1 = a)

Natural Numbers    {1, 2, 3, ...}

Opposites -two quantities whose sum is 0 (also called additive inverses). Perfect Square Trinomial-a polynomial of three terms that factors into the same two binomials.

Ordered Pair - written (x,y), the x represents a value on the horizontal axis and the y represents a value on the vertical axis, while (x,y) represents a point on the graph.

Origin - the ordered pair (0,0).

Parallel lines - two lines with the same slope.

Perpendicular lines - two lines that intersect at right angles.

Perfect Square Trinomial - a polynomial of three terms that factors into the same two binomials.

Polynomial in x -a finite sum of terms of the form axn , where a is a real number and n is a whole number.

Power -the number of times a base is used as a factor. Also called an exponent.

Prime -a polynomial that does not factor.

Quadrant - one of the four sections where the horizontal and vertical number lines divide the plane.

Quadratic equation -an equation that can be written in the form ax2 + bx + c = 0 where a, b, and c are real numbers and a 0.

Rational Expression - a quotient of polynomials.

Rational Numbers - {  l a and b are integers and b 0 }

Real Numbers -  Numbers that correspond to points on the number line. This includes all natural, whole, integers, rational, and irrational numbers.

Reciprocals -two numbers whose product is 1 (also called multiplicative inverses).

Rectangular coordinate system - a 2-dimensional graph that includes a horizontal and vertical number line.

Right triangle - a three sided polygon that contains a 90 degree angle.

Scientific notation - if a number is written as the product of a number a, where 1 < a < 10, and an integer power r of 10: a x 10r .

Set -a collection of objects.

Slope - the steepness of a line.

Slope-intercept form - a linear equation written in the form y = mx + b.

Solution -the value of the variable or variables that makes the equation true.

Standard form of a linear equation - the form Ax + By = C where A, B, and C are real numbers and A 0 and B 0.

Standard Form of a quadratic equation -the form ax2 + bx + c = 0 where a, b, and c are real numbers and a 0.

Supplementary angles -two angles whose sum is 180 degrees.

Term -a number or the product of a number and a variable (including exponents).

Translate -to change from written words to a mathematical statement.

Trinomial -a polynomial with exactly three terms.

Variable -letter used to denote an unknown quantity.

Whole Numbers - {0, 1, 2, 3,...}

x-axis - the horizontal number line.

x-coordinate - the x value in the ordered pair (x,y).

x-intercept - a point on the x-axis (a,0).

y-axis - the vertical number line.

y-coordinate - the y value in the ordered pair (x,y).

y-intercept - a point on the y-axis (0,b).

 

 

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How can Algebrator Help YOU?

  • It solves any problem from your textbook
  • It gives you all the steps, not just solutions - just like a teacher!
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  • When you don't understand a step, it gives you an explanation
  • You get your homework done in minutes, and you learn algebra
Algebrator can solve problems in all the following areas:
  • simplification of algebraic expressions (operations with polynomials (simplifying, degree, synthetic division...), exponential expressions, fractions and roots (radicals), absolute values)
  • factoring and expanding expressions
  • finding LCM and GCF
  • operations with complex numbers (simplifying, rationalizing complex denominators...)
  • solving linear, quadratic and many other equations and inequalities (including basic logarithmic and exponential equations)
  • solving a system of two and three linear equations (including Cramer's rule)
  • graphing curves (lines, parabolas, hyperbolas, circles, ellipses, equation and inequality solutions)
  • graphing general functions
  • operations with functions (composition, inverse, range, domain...)
  • simplifying logarithms
  • basic geometry and trigonometry (similarity, calculating trig functions, right triangle...)
  • arithmetic and other pre-algebra topics (ratios, proportions, measurements...)
  • NEW! Linear Algebra (operations with matrices, inverse matrix, determinants...)





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