Factoring trinomials

Factoring trinomials

Factoring Trinomials- harder

Factor by Grouping

Factor by GCF

Miscellaneous Factoring

100

Factor into two binomials: x^{2}+8x+12

(x+6)(x+2)

100

Factor into two binomials: 2x^{2}+7x+3

(2x+1)(x+3)

100

Find the GCF: 3x^{2}, 12x

3x

100

Factor by GCF: 14n^{2}+10n

2n(7n+5)

100

Solve for x:
3x-7=11

x=6

200

Factor into two binomials: m^{2}-11m+18

(m-9)(m-2)

200

Factor into two binomials: 5n^{2}+26n+5

(5n+1)(n+5)

200

Find the GCF: 4x^{3}, 10x^{2}

2x^{2}

200

Factor by GCF: 18x^{3}-6x

6x(3x^{2}-1)

200

2x+8=5x-7

x=5

300

Factor into two binomials: x^{2}+5x-24

(x+8)(x-3)

300

Factor into two binomials: 3x^{2}-10x+7

(3x-7)(x-1)

300

Find the GCF: 2x^{5}, 9x^{4}

x^{4}

300

Factor by GCF: 8-4a^{2}

4(2-a^{2})

300

Solve the system of equations by using substitution.
3y+2x=32,
x=7

y=6

400

Factor into two binomials: y^{2}-6y-7

(y-7)(y+1)

400

Factor into two binomials: 7x^{2}-36x+5

(7x-1)(x-5)

400

Find the GCF: 18x^{3}, 32x^{2}+6x

2x

400

Factor by GCF: 4x^{4}+16x^{3}-8x^{2}

4x^{2}(x^{2}+4x-2)

400

What is the slope and y-intercept of the following line?
y=5x-2

Slope=5
Y-Intercept=-2

500

Factor into two binomials: x^{2}-x-56

(x-8)(x+7)

500

Factor into two binomials: 2x^{2}-12x+10

(2x-2)(x-5)

500

Find the GCF: 12m^{4}n^{3}, 6m^{3}n^{2}, 24m^{2}n^{4}

6m^{2}n^{2}

500

Factor by GCF: 10a^{3}b^{4}-6a^{2}b^{6}

2a^{2}b^{4}(5a^{3}-3b^{2})

500

Solve the system of equations by using elimination.
2x + y = 9,
3x – y = 16

x=5, y=-1

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