FACTORING POLYNOMIALS

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

Factor into two binomials: x²+5x-24

(x+8)(x-3)

400

Factor into two binomials: x²+2y+7

DNF

500

Factor into two binomials: 5x²-5x-280

5(x-8)(x+7)

Factoring- 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: 2x²-12x+10

2(x-1)(x-5)

400

Factor into two binomials: 27x²-12

3(3x-2)(3x+2)

500

Factor into two binomials: 20a²+18ab-14b²

2(2a-b)(5a+7b)

Find the GCF

100

Find the GCF: 4x³, 10x²

2x²

200

Find the GCF: 24, 64, 28

4

300

Find the GCF: 2x⁵, 9x⁴

x⁴

400

Find the GCF: 18x³, 32x², 6x

2x

500

Find the GCF: 12m⁴n³, 6m³n²p², 24m²n⁴

6m²n²

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(5a-3b²)

Polynomial Palooza

100

State the degree of the polynomial

x³+3x-7

Degree 3

200

Classify the polynomial by number of terms

x²+bx

binomial

300

State the degree of the polynomial

x⁴+3x²-2x³+7x⁵-5x-10

Degree 5

400

What is the name for a polynomial where the highest term is x⁴?

Quartic

500

If the leading coefficient of a quadratic is negative, what does that mean for the graph of the quadratic?

The parabola will open downward- the graph will be flipped vertically