Factoring Polynomials

GCF

100

Find the greatest common factor of the polynomial 3x²+27

3

200

Find the greatest common factor of the polynomial 7x+14x²

7x

300

Find the greatest common factor of the polynomial 100+100rt

100

400

Completely factor of the polynomial 5x²+20x

5x(x+4)

500

Completely factor the polynomial 20x³y+30x²y-5y

5y(4x³+6x²-1)

x^2+bx+c

100

Completely factor the polynomial x²+6x+9

(x+3)(x+3)

200

Completely factor the polynomial x²-6x-16

(x-8)(x+2)

300

Completely factor the polynomial n²-12n+35

(n-5)(n-7)

400

Completely factor the polynomial y²-y-12

(y-4)(y+3)

500

Completely factor the polynomial x²-49

(x+7)(x-7)

ax^2+bx+c

100

Completely factor the polynomial 2x²+5x+2.

(2x+1)(x+2)

200

Completely Factor the polynomial  4a²+13a+3

(x+3)(4x+1)

300

Completely factor the polynomial 3x²+10x-8

(3x+2)(x-4)

400

Completely factor the polynomial 5x²+15x+10

5(x+1)(x+2)

500

Completely factor the polynomial 81-a²

(9+a)(9-a)

Math Dictionary

100

One number, variable, or product of a number and variables with a whole number exponent. Example: 4x³y

monomial

200

A polynomial with 3 terms

Trinomial 

300

When a polynomial is in standard form ax²+bx+c, this is the term for c

Constant 

400

When a polynomial is written with exponents of terms decreasing from left to right and the lead coefficient is positive

Standard Form

500

In math, F.O.I.L stands for this. 

First, Outside, Inside, Last

Show what you know!

100

Write the polynomial below in standard form. 

-3-4x⁵+2x+6x⁴+8

4x⁵-6x⁴-2x-5

200

Multiply the polynomial below. 

(x-3)(x²-8x+2)

x³-11x²+26x-6

300

What term is used to describe a polynomial that cannot be factored and is in its simplest form? 

Prime

400

For what value of n is the equation below true?

3x²-25x+28=(3x-4)(x+n)

-7

500

The area of a rectangular dance floor is 8x²+22x+5. Write the expressions that represent the length and width of the dance floor. 

(4x+1) feet by (2x+5) feet