Solving Polynomials Equations by Factoring

Convert x² - 9x + 20 to factored form and solve.

• (x-10)(x+2); x = -2, 10

• (x+4)(x+5); x = -5, -4

• (x-4)(x-5); x = 4, 5

• Not factorable

What are the solutions to this equation? (x-3)(x+2)=0

• x=3,-2

• x=-3,2

• x=2,3

• x=3,2

Solve by factoring: n² - 2n = 0

• n = 2 and 0

• n = -2 and 0

• n = 2

• n = 0

Solve by factoring

• -4, 2

• -2, 4

• -16

• -4

Solve by factoring

• -2, 4

• -8

• ±8

• No real solution

The solutions of the quadratic equation 
x²+12x+35=0 are

• x = -5 or x = -7

• x = 5 or x = 7

• x = -35 or x = -1

• x = -9 or x = -4

Factor x² + 6x + 9 and solve for x. 

• (x+3)(x+3); x = -3

• (x+4)(x+5); x=-4, -5

• (x-3)(x-3); x=3

• Not factorable

Solve by Factoring

x² + 4x - 40 = -8

• -10 & -4

• -4 & 10

• -8 & 4

• 8 & -4

The solutions of the quadratic equation 
x² - x = 12 are

• x = 4 or x = -3

• x = -3 or x = -4

• x = 6 or x = 2

• x = 4 or x = 3

What type of equations always include an x²?

• Quadratic

• Linear

• Exponential

• Quartic