FACTORING POLYNOMIALS

Factoring trinomials

100

Factor:

x²+8x+12

(x+6)(x+2)

200

Factor:

m²-11m+18

(m-9)(m-2)

300

Factor:

3x²+15x-72

3(x+8)(x-3)

400

Factor:

5xy²-30xy-35x

5x(y-7)(y+1)

500

One of the factors of 2x³-2x²-112x is x+b,
where b is a positive constant. What is the
smallest possible value of b?

Factors to:
2x(x-8)(x+7)

So  the smallest possible value of b is -8

Factoring Trinomials- harder

100

Factor:

2x²+7x+3

(2x+1)(x+3)

200

Factor:

5n²+26n+5

(5n+1)(n+5)

300

Factor:

18x²-60x+42

6(3x-7)(x-1)

400

One of the factors of 7x³-36x²+5x is x+b,
where b is a positive constant. What is the
smallest possible value of b?

Daily Double!

Factors to:
x(7x-1)(x-5)

So  the smallest possible value of b is -5

500

Factor:

8x³y-48x²y+40xy

4xy(2x-2)(x-5)

Difference of Squares

100

Factor:

a²-100

(a+10)(a-10)

200

Factor:

4x²-25

(2x+5)(2x-5)

300

Factor:

8x²-50

2(2x+5)(2x-5)

400

Factor:

49y-121y³

y(7-11y)(7+11y)

500

Factor:

64v³-36v

4v(4v+3)(4v-3)

Factor by GCF

100

Factor:

14n²+10n

2n(7n+5)

200

Factor:

8-4a²

4(2-a²)

300

Factor:

18x³-6x

6x(3x²-1)

400

Factor:

4x⁴y²+16x³y²-8x²y²

4x²y²(x²+4x-2)

500

Factor:

10a³b⁴-6a²b⁶

2a²b⁴(5a-3b²)