Solving Quadratic 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

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor 6x²-27x

• (6x+1)(x+3)
• 3x(2x-9)
• 6x(x-9)
• (3x-9)(2x+3)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

The solutions of the quadratic equation 
x²+2x-15=0 are

• x = 3 or x = 5
• x = 5 or x = -3
• x = -5 or x = 3
• x = -3 or x = -5

Tags

CCSS.HSA.REI.B.4

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

Tags

CCSS.HSA.REI.B.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

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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

• x=3,-2
• x=-3,2
• x=2,3
• x=3,2

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

The solutions of the quadratic equation 
x²4x+4=0 are

• x = 2 
• x = -2
• x = -4 or x = 1
• x = -4 or x = -1

Tags

CCSS.HSA.REI.B.4

Solve

x² + 2x - 20 = 4

• x = -6, x = 4

• x = 6, x = -4

• x = 12, x = -2

• x = 8, x = -3

Tags

CCSS.HSA.REI.B.4

What should you do first in solving this equation?
x² + 6x - 13 = 3

• Get factored form
• Find two numbers which add to make 6 and multiply to make -13
• Make it equal 0 by subtracting 3 on each side
• Type it all in a calculator.

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

Solve by factoring:

n² - 2n = 0

• n = 2 and 0

• n = -2 and 0

• n = 2

• n = 0

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2