Solving Quadratic Equations by Factoring

Solve the equation by the factoring method: 6x² - 9x = 0

• x = 0 & x = 3

• x = 0 & x = -3/2

• x = 0 & x = 3/2

Tags

CCSS.HSA-REI.B.4B

Solve the equation with a method of your choice:

x² - 2x - 24 = 0

• x = 6 and x = 4

• x = -6 and and x = 4

• x = 6 and x = -4

Tags

CCSS.HSA-REI.B.4B

The solutions of the quadratic equation
x²-5x+6=0 are

• x=1 or x=-6

• x=3 or x=2

• x=-3 or x= 2

• x=-1 or x=6

Tags

CCSS.HSA-REI.B.4B

Tags

CCSS.HSA-REI.B.4B

Convert x²+6x+9 to factored form and identify the solution.

• (x+3)(x+3); x=-3

• (x+4)(x+5); x=-4, -5

• (x-3)(x-3); x=3

• Not factorable

Tags

CCSS.HSA-REI.B.4B

When checking to see if a quadratic trinomial is a Perfect Square Trinomial, you must determine if the first and last terms are perfect squares and if the middle term is the product of 2 times the square roots of the first and last term. The first and last terms must also be positive.

• True

• False

Tags

CCSS.HSA.APR.C.4

Which of the following are valid methods for checking your work after a factoring problem?

• Graph the expression on desmos

• FOIL out your solution to see if you got the original problem

• Use PhotoMath or Google Lens

• Ask a friend if you can compare your work to theirs (homework only)

• YOLO! Checking your work is for nerds.

Solve
a² + 2a - 24 = 0

• a = -6, 4

• a = 6, -4

• a = 12, -2

• a = 8, -3

Tags

CCSS.HSA-REI.B.4B

Solve: x² - 9x + 20 = 0

• x = -4 and x = -5

• x = 20 and x = -9

• x = 4 and x = 5

• x = -4 and x = 5

Tags

CCSS.HSA-REI.B.4B

Factor
x² + 9x - 36

• (x + 12)(x - 3)

• (x + 9)(x - 4)

• (x - 12)(x + 3)

• (x - 9)(x - 4)