Solving Polynomials by Factoring GCF

Solve the equation by factoring: n²+11n +30 = 0

• x = -6, -5

• x = 6, 5

• x = 2, 15

• x = -2, -15

Solve for the values of x:

(2x - 1)(x + 4) = 0

• x = 1/2, -4

• x = 1/2, 4

• x = 2, -4

• x = -2 4

Solve for the values of x:
(2x + 5)(5x - 2) = 0

• { -5/2, -2/5 }

• { -5/2, 2/5 }

• { 5/2, 2/5 }

• { 5/2, -2/5 }

Factor the following: 6x⁴ - 9x³ - 8x² + 12x

• (3x² - 4)(x - 3)

• (3x² + 4)(x +3)

• x(3x² + 4)(x + 3)

• x(3x² - 4)(x - 3)

Write x³ + 9x² + 18x in factored form.

• x(x + 6)(x + 3)

• x(x + 9)(x + 2)

• x(x + 6)

• x(x - 6)(x - 3)

Find the factors of x² - 81

• (x - 9)(x + 9)

• (x + 9)(x + 9)

• (x - 9)(x - 9)

• Prime

What are the factoring methods we have learned for factoring polynomials? (check all that apply)

• Factor out a GCF

• Difference of Squares

• Sum or Difference of Cubes

• Factor by Grouping

• Factor like a Quadratic

What is the first step when factoring polynomials?

• Find the GCF

• List all the terms

• Make a triangle

• Write the answer

Factor 4b⁵+4b³+16b²

• 4b³(b⁴+b²+4b)

• 4b³(b⁴+4b+5)

• 4(b⁵+b³+4b²)

• 4b²(b³+b+4)

Factor Completely.

8x³ - 18x

• 2x(4x²-9)

• (4x²+3)(2x-3)

• 2x(2x+3)(2x-3)

• Prime (Can't be factored)