Factor Quadratic Equations When A Is Not One

What is the equation for this parabola in factored form?

• y=(x+2)(x-1)

• y=(x-2)(x+1)

• y=(x-2)(x-1)

• y=(x+2)(x+1)

Tags

CCSS.HSF-IF.C.7A

Factor 6x²-27x

• (6x+1)(x+3)

• 3x(2x-9)

• 6x(x-9)

• (3x-9)(2x+3)

Order the following steps for solving quadratic equations by factoring.

• Set each factor equal to zero, and solve each for the variable.

• Factor the left side.

• Set the quadratic equation equal to zero.

• Write the answer using curly braces in set notation.

Tags

CCSS.HSA-REI.B.4B

When is a quadratic equation factorable?

• When the diagonal

  (ax=y) is a perfect square

• When the difference

  (d=ax²−c) is a perfect square

• When the difference

  (d=ax²−c) is a perfect cube

• When the discriminant

  (d=b²−4ac) is a perfect cube

• When the discriminant

  (d=b²−4ac) is a perfect square

Tags

CCSS.HSA-REI.B.4B

Solve the equation by factoring:

2x² + 26x + 80 = 0

• -8, 5

• -40, -1

• 5, 8

• -8, -5

Tags

CCSS.HSA-REI.B.4B

Solve by factoring:  4x² + 11x - 3 = 0

• x = -3/4 and x = -1

• x = 4 and x = 3

• x = 1/4 and x = -3

• x = -1/4 and x = 3

Tags

CCSS.HSA-REI.B.4B

Solve by factoring:  2x²+ 7x + 6 = 0

• x= 3/2 and x = 2

• x = -3/2 and x = -2

• x = 6 and x = 7

• x = -6 and x = -7

Tags

CCSS.HSA-REI.B.4B

Solve by factoring: 3a² + 4a + 1

• a = 10/7, a = 8

• Not factorable

• a = -1/3, a = -1

• a = 1/3, a = 1

Tags

CCSS.HSA-REI.B.4B

Solve by factoring:3x² + 5x + 2 = 0  

• x = -2/3 and x = -1

• x = -3/2 and x = -1

• x = 2/3 and x = 1

• x = 2/3 and x = -1

Tags

CCSS.HSA-REI.B.4B

Which line represents a factor of the quadratic function?

• The blue line

• The green line

• The purple line

• The black line