Solving Quadratic by Greatest Common Factor

What is the first step in solving a quadratic equation by factoring out the greatest common factor?

• Square the common factor

• Find the discriminant first

• Identify the common factor shared by all terms

• Divide all terms by the common factor

Tags

CCSS.HSA-REI.B.4B

Solve the quadratic equation by factoring out the greatest common factor: 4x^2 + 8x = 0

• x = 0, x = -2

• x = 1, x = -4

• x = 2, x = -3

• x = 3, x = -5

Tags

CCSS.HSA-REI.B.4B

Factorize the quadratic expression using the greatest common factor: 12x^2 + 18x

• 3x(4x + 6)

• 2x(6x + 9)

• 6x(2x + 3)

• 4x(3x + 2)

In the quadratic equation 3x^2 + 6x = 0, what is the greatest common factor?

• 3x

• 4x

• 5x

• 2x

Tags

CCSS.HSA-REI.B.4B

Solve by factoring. (HINT: Factor GCF 1st)

• x = 3, x = -6

• x = 0, x = 2

• x = 2, x = 3

• x = -2, x = 1

Tags

CCSS.HSA-REI.B.4B

What is the process of using GCF to factorize quadratic expressions?

• Add the GCF to each term of the quadratic expression

• Identify the GCF of all terms and factor it out from each term.

• Subtract the GCF from each term of the quadratic expression

• Divide the quadratic expression by the GCF

If a quadratic equation is 5x^2 + 15x = 0, what is the greatest common factor?

• 10x

• 5x

• 25x

• 3x

Tags

CCSS.HSA-REI.B.4B

Factorize the quadratic expression by GCF: 9x^2 + 27x

• 27x(3x + 9)

• 9(x + 3)

• 9x(x + 3)

• 3x(3x + 9)

If a quadratic equation is 6x^2 + 12x = 0, what is the greatest common factor?

• 3x

• 2x

• 6x

• 4x

Tags

CCSS.HSA-REI.B.4B

How can you identify the greatest common factor in a quadratic expression?

• Divide the quadratic expression by a random number

• Factorize the quadratic expression and identify the common factors among all terms.

• Add all coefficients in the quadratic expression

• Ignore the quadratic expression and focus on the constant term only