FACTORING POLYNOMIALS

Factoring trinomials

1

Factor into two binomials: x²+8x+12

(x+6)(x+2)

2

Factor into two binomials: m²-11m+18

(m-9)(m-2)

3

Factor into two binomials: x²+5x-24

(x+8)(x-3)

4

Factor into two binomials: y²-6y-7

(y-7)(y+1)

5

Factor into two binomials: x²-x-56

(x-8)(x+7)

Factoring Trinomials- harder

1

Factor into two binomials: 2x²+7x+3

(2x+1)(x+3)

2

Factor into two binomials: 5n²+26n+5

(5n+1)(n+5)

3

Factor into two binomials: 3x²-10x+7

(3x-7)(x-1)

4

Factor into two binomials: 7x²-36x+5

(7x-1)(x-5)

5

Factor into two binomials: 2x²-12x+10

(2x-2)(x-5)

Factor by Grouping

1

Find the GCF: 3x², 12x

3x

2

Find the GCF: 4x³, 10x²

2x²

3

Find the GCF: 2x⁵, 9x⁴

x⁴

4

Find the GCF: 18x³, 32x²+6x

2x

5

Find the GCF: 12m⁴n³, 6m³n², 24m²n⁴

6m²n²

Factor by GCF

1

Factor by GCF: 14n²+10n

2n(7n+5)

2

Factor by GCF: 18x³-6x

6x(3x²-1)

3

Factor by GCF: 8-4a²

4(2-a²)

4

Factor by GCF: 4x⁴+16x³-8x²

4x²(x²+4x-2)

5

Factor by GCF: 10a³b⁴-6a²b⁶

2a²b⁴(5a³-3b²)

Miscellaneous Factoring

1

Solve for x: 3x-7=11

x=6

2

2x+8=5x-7

x=5

3

what is the reason why the denominator of a rational expression cannot be equal to zero?

undefined

4

what kind of trinomial x² + 6x + 9 is?

PERFECT SQUARE TRINOMIAL

5

What is the first step in adding rational algebraic expressions with different denominators?

Add the numerators directly