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Algebra Crunchers
Coolmath's Algebra Practice Problems-
Polynomials:

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Now available:  Coolmath Algebra books!  Part 1, Part 2 and Part 3 covering the Algebra you need from Algebra 1 through Precalculus Algebra (Beginning Algebra through College Algebra)

other Coolmath Books:  Coolmath Precalculus Review (the math you really need to survive Calculus 1) and Math Survival Guide (How to conquer math and deal with math anxiety)

Substituting numbers into polynomials
Example:  Given x^2+3x-7  let x = -2
Adding and subtracting polynomials
Example: ( 5x^2+3x-7 ) - ( 9x^3-3x^2-8x+6 )
Exponent rules for multiplying polynomials 1
Example:  Simplify ( x^2 )( y^5 )( x^3 )( y )
Exponent rules for dividing polynomials
Example:  Simplify  ( ( x^2 )( y^5 )( w^3 ) ) / ( ( x^7 )( y^2 )( w^8 ) )
Exponent rules for multiplying polynomials  with negative exponents
Example:  Simplify  ( x^-8 )( y^-5 )( x^3 )( y^2 )
Exponent rules for multiplying powers of exponents
Example:  Simplify  ( x^2 )^5 ( w^3 )( x^7 )^2 ( w^4 )^8
Exponent rules for dividing polynomials with negative exponents
Example:  Simplify ( ( x^-4 )^6 ( y^-3 )( w^2 )^5 ) / ( ( x^-5 )( y^7 )^-2( w^-8 ) )
Exponent rules for multiplying powers of exponents with negative exponents
Example:  Simplify ( x^-2 )^3 ( w^-5 ) ( x^4 )^-6 ( w^2 )^8
Exponent rules for polynomials
Example:  Simplify ( ( x^8 )( y^5 )( x^3 )( y ) )^2
Exponent rules for polynomials with negative exponents
Example:  Simplify ( ( x^-3 )( y^5 )( x^4 )( w^-6 )( y ) )^-1
Multiplying binomials - FOIL
Example:  ( 5x+3 )( 2x-1 )
Multiplying harder polynomials
Example:  ( 2x-3 )( 5x^2-7x+1 )
Factoring trinomials with no number in front of the x-squared
Example:  Factor x^2-3x-10
Factoring trinomials with two prime numbers
Example:  Factor 2x^2-13x-7
Factoring trinomials with one prime number
Example:  Factor 6x^2-17x+5
Factoring trinomials with no primes
Example:  Factor 8x^2+2x-15
Factoring - the difference of two squares
Example:  Factor 9x^2-25
Factoring - the sum of two squares (factoring with complex numbers)
Example:  Factor x^2+9
Factoring - the sum and difference of two cubes
Example:  Factor 27x^3-1
Factoring - factor by grouping
Example:  Factor 15ab+20ay-6bx-8xy

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