Solving Quadratic Equations by Factoring

Solving Quadratic Equations by Factoring

Algebra 1

Multiple Choice

Convert the following quadratic equation to standard form.

 $4x^2+21x=-6$  

•  $4x^2+21x-6=0$  

•  $4x^2+21x+6=0$  

Multiple Choice

What is the "c" term of the following quadratic equation:

 $2x^2+5x=0$  

• -6

• 5

• 0

• 6

Multiple Choice

When using the "x-method" for factoring what would go on the top of the X in order to factor

 $x^2-11x+15=0$  

• -11

• 1

• 15

• 0

Multiple Choice

What are the factors of

 $x^2-x-56=0$  

•  $\left(x-8\right)\left(x+7\right)$  

•  $\left(x+8\right)\left(x-7\right)$  

•  $\left(x+4\right)\left(x+14\right)$  

Multiple Select

What are the solutions to the quadratic equation:

 $x^{2\ }-6x+5=0$  

•  $x=5,\ x=1$  

•  $x=-5,\ x=1$  

•  $x=4,\ x=1$  

•  $x=1,\ x=4$  

Multiple Select

What are the factors of the quadratic equation:

 $x^2+10x+16=0$  Hint: Select two 

•  $\left(x+5\right)$  

•  $\left(x+2\right)$  

•  $\left(x+8\right)$  

•  $\left(x-8\right)$  

Multiple Choice

Which of the following quadratic equations are written in standard form?

• 
  

  $2x+3y=3$

• $2x^2+3x-5=0$

• $2x^2+3x=5$

• $2x^2=36$

Multiple Choice

What is the first step when solving a quadratic equation by factoring?

• Put the equation in standard form

• Factor

• Set the factors equal to zero and solve.

Multiple Choice

When factoring using the X method what goes on the top of the x.

• a

• b

• c

• a and b

Multiple Choice

When factoring using the X method what goes on the bottom of the x.

• a

• b

• c

• a and b

Multiple Choice

Solve the following quadratic using factoring

 $x^2-11x+10=0$  

• x=1         x=10

• x=-1        x=-10

• x=2          x=11

Multiple Choice

What are the zeros of the quadratic equation

 $x^2+7x-18=0$  

• -9, -1

• -9, 2

• 2, -3

• 6, 3