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

Multiple Choice

Solve

$$7b^2−6=b$$

• (− 6 / 7 , 1)

• (8/ 7 , 6)

• ( 6/ 7 , 2 /3)

• (4/ 7 , −1)

Poll

How well do you understand solving equations by factoring?

• I am lost

• I get how to solve but still confused about factoring

• I understand most of everything

• I got this