Solving by Factoring

What is the zero product property?

• The zero product property states that if the product of two or more factors is zero, at least one of the factors must be zero.

• The zero product property states that the sum of two factors is always zero.

• The zero product property states that if one factor is zero, the product is always one.

• The zero product property states that the product of any two numbers is zero.

Solve for a by factoring: a² + 2a - 24 = 0

• a = -4, and a = 6

• a = -6, and a = 4

• a = -2, and a = 12

• a = 0, and a = 24

• a) @@4w^2+16w+128=0@@

• b) @@w=4 ext{ in}, ext{ }l=4 ext{ in}, ext{ }h=8 ext{ in}@@

• c) @@w=2 ext{ in}, ext{ }l=6 ext{ in}, ext{ }h=10 ext{ in}@@

• d) @@w=5 ext{ in}, ext{ }l=3 ext{ in}, ext{ }h=7 ext{ in}@@

Solve by factoring: 5x² + 13x + 6 = 0

• x = -2

• x = -3/5

• x = -1

• x = -4/5

Solve by factoring: 2x² - 5x - 12 = 0

• x = 4 and x = -3/2

• x = 3 and x = -4

• x = 2 and x = 6

• x = -4 and x = 3/2

What is a quadratic equation?

• A polynomial equation of degree 1

• A polynomial equation of degree 2, typically in the form ax² + bx + c = 0.

• A linear equation in two variables

• An equation that has no solutions

Solve by factoring: @@2t^5+2t^4-144t^3=0@@

• t = 0, t = 9, t = -8

• t = 0, t = 8, t = -9

• t = 1, t = 9, t = -8

• t = 0, t = 10, t = -8

Solve: 4x² - 20x + 25 = 0

• x = 2

• x = 5/2

• x = 3

• x = 10

Solve by factoring: 49x² - 100 = 0

• x = 5/7

• x = 10/7

• x = 15/7

• x = -10/7

Solve by factoring: @@4y^3-7y^2+28=16y@@

• x=2

• x=-2

• x=\frac{7}{4}

• x=3