Algebraic Antics

factoring polynomials

100

 2x²-7x+3

what is...(2x−1)(x−3)

200

 2x³-8x

what is...2x(x+2)(x−2)

300

4x²+12x+9

what is...(2x+3)²

400

x⁴-1

what is...(x-1)(x+1)(x²+1)

500

x³ - 8

what is...(x-2)(x²+2x+4)

factoring trinomials

100

x²+5x+6

what is...(x+3)(x+2)

200

4x²+7x+3

what is...(4x+3)(x+1)

300

2x²-7x+5

what is (2x-5)(x-1)

400

3x²-5x-2

what is...(3x+2)(x-1)

500

x²-11x+30

what is...(x-10)(x-1)

distributingmonomials

100

5x(3x²+2)

what is...15x³+10x?

200

-4y²(5y⁴-3y²+2)

what is...-20y⁶+12y⁴-8y²?

300

4(3x²+4x-8)

what is...12x²16x-32?

400

3(2x³+4x²-x-1)

what is...6x³+12²-3x-3?

500

3x(4x²y-3y+12xy²)

what is..12x³y-9xy+36x²y²?

what is..?

100

what is binomial

what is...an algebraic expression of the sum or the difference of two terms?

200

what is polynomial 

what is...an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s)?

300

what is greatest common factor

what is...a set of numbers is the largest factor that all the numbers share?

400

what is factorization 

what is...breaking a number down into smaller numbers that, multiplied together, give you that original number?

500

what is quadratic formula

what is...x= -b±√(b²-4ac)/(2a)?

even morewhat is..?

100

what is a coefficient  

what is...a numerical or constant quantity placed before and multiplying the variable in an algebraic expression?

200

what is simplifying

what is... a writing the expression in the most basic way possible by eliminating parentheses and combining like terms?

300

what is a constant

what is...a value or number that never changes in expression; it's constantly the same?

400

what is a monomial

what is...a polynomial, which has only one term?

500

what is perfect squares

what is...numbers that are the products of integers by themselves?