Factoring Polynomials - Mr. N

Factoring trinomials

100

Factor into two binomials: x²+8x+12

(x+6)(x+2)

200

Factor into two binomials: m²-11m+18

(m-9)(m-2)

300

Solve: x²+5x-24

(x+8)(x-3)

x = -8, 3

400

Solve: y²-6y-7

(y-7)(y+1)

y = -1, 7

500

Solve:  x²-x-56

(x-8)(x+7)

x = -7, 8

Factoring Trinomials- harder

100

Factor into two binomials: 2x²+7x+3

(2x+1)(x+3)

200

Factor into two binomials: 5n²+26n+5

(5n+1)(n+5)

300

Factor into two binomials: 3x²-10x+7

(3x-7)(x-1)

400

Solve: 7x²-36x+5

(7x-1)(x-5)

x = 1/7, 5

500

Solve: 2x²-12x+10

2(x-1)(x-5)

x = 1, 5

Factor by Grouping

100

Factor: a² - 3a + 4a - 12

(a + 4)(a - 3)

200

Factor: 2y³ - 2y² + 3y - 3

(2y² + 3)(y - 1)

300

Factor: 3p⁴ + 5p³ - 12p - 20

(p³ - 4)(3p + 5)

400

Factor 105x³ + 175x² - 75x - 125

5(7x² - 5)(3x + 5)

500

Factor: 16mn - 4m² + 28n - 7m

(4m + 7)(4n - m)

Factor by GCF

100

Factor by GCF: 14n²+10n

2n(7n+5)

200

Factor by GCF: 18x³-6x

6x(3x²-1)

300

Factor by GCF: 8-4a²

4(2-a²)

400

Factor by GCF: 4x⁴+16x³-8x²

4x²(x²+4x-2)

500

Factor by GCF: 10a³b⁴-6a²b⁶

2a²b⁴(5a³-3b²)

Vocabulary

100

A polynomial with 2 terms.

What is a binomial?

200

The largest possible integer and variable that divides all the terms without leaving a remainder.

What is the GCF? (Greatest Common Factor).

300

When the exponents of the terms decrease from left to right.

What is standard form?

400

Having the same variable and exponent (power).

What is like-terms?

500

To solve a polynomial we must get it in _________ form.

What is factored?