Writing Quadratic Equations given the Roots/Solutions

If -2 and -5 are roots of a quadratic, write the Quadratics in FACTORED form only.

• (x-2)(x-5)=0

• (x+2)(x+5)=0

• (x+2)(x-5)=0

• (x-2)(x+5)=0

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

If -1/2 and 2/5 are roots of a quadratic, write the Quadratics in FACTORED form only.

• (x-2)(x-5/2)=0

• (2x-1)(5x+2)=0

• (x-2)(2x-5)=0

• (2x+1)(5x-2)=0

Tags

CCSS.HSA.APR.B.3

Find the product:
(x + 12)(x - 12)

• x² - 144
• x² + 144
• x² + 12x - 144
• x² - 12x + 144

Tags

CCSS.HSA.APR.C.4

Find the product:
(3x + 2)(2x + 4)

• 6x² + 16x + 8
• 5x² +11x + 6
• 5x² + 16x + 6
• 6x² + 11x + 8

Tags

CCSS.HSA.APR.A.1

Write a quadratic equation having roots 2 and 3 in standard form.

• x² + 5x + 6=0

• x² + x + 6=0

• x² - 5x + 6=0

• x² + 6x + 6=0

Answer explanation

Remember root x = 2 has x-2 as its factor.

Same with root 3.

Then multiply (x-2)(x-3)

Tags

CCSS.HSA.APR.B.3

Write a quadratic equation having roots 9/2 and -2 in standard form.

Write a quadratic equation having roots 1/2 and 4/7 in standard form.

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Write a quadratic equation having roots -5/6 and -4 in standard form.

• 6x²+29x+20=0

• 6x²-29x+20=0

• 6x²+19x+20=0

• 6x²+29x+24=0

Tags

CCSS.HSA.APR.B.3

Given the zeros , what is the quadratic equation?

• y=x² +6x -8
• y=x² +6x +8
• y=x² -2x -8
• y=x² -2x +8

Tags

CCSS.HSA.APR.B.3

Given the zeros below, what is the quadratic equation?

• y=x² +12x +35
• y=x² -12x +35
• y=x² +12x -35
• y=x² -12x -35

Tags

CCSS.HSA.APR.B.3