Factors to Zeros

Which function is graphed?

• (x - 4)(x + 2)(x - 8)=0

• (x - 4)(x - 2)(x + 8)=0

• (x - 4)(x + 2)(x + 8)=0

• (x + 4)(x + 2)(x + 8)=0

What does it mean to "find the zeros"?

• Finding where the graph crosses the x-axis

• Finding where the graph crosses the y-axis

• Finding the very bottom of the graph.

• Finding the very top of the graph.

Find the zeros.

• x = 0 and 4

• x = 0 and -4

• x = 0

• x = -4

Write the cubic polynomial in factored form with 
zeros -1, 1, and 4

• (x + 1) (x - 1) (x - 4)

• x³ - 4x² - x + 4

• (x + 1) (x - 1) (x + 4)

• x³ - 4x² - x - 4

Solve by factoring:  2x³+ 7x² + 6x = 0

• x=0, x= 3/2 and x = 2

• x=0, x = -3/2 and x = -2

• x=0, x = 6 and x = 7

• x=2, x = -6 and x = -7

Find the root(s) of the function.

• x = 3

• x = {-3, -1, 2}

• x = {-3, 2}

• x = -1

Find the zero(s) of the function.

• x = 1

• x = -3

• x = {-1, 3}

• x = 2

Find the zeros of the function and graph.
y=(x + 2)(x - 3)(3x - 5)

• x=-2, x=3, x=5/3

• x=2, x=-3, x=-3/5

• x=2, x=-3, x=5/3

• x=-2, x=3, x=5

What are the solutions to the polynomial:  p(x)=(2x-1)(x² +3x +1) 
(Hint: Use quadratic formula for x²+3x+1)

• x=1/2, (-3+√5)/2, (-3-√5)/2

• x=1/2, (3+√5)/2, (3-√5)/2

• x=-1/2, (-3+√5)/2, (-3-√5)/2

• x=-1/2, (3+√5)/2, (3-√5)/2

What are the roots of the polynomial function?
y = (x + 2)(x - 7)³

• -2, 7 multiplicity 3

• -2, 7, 3

• 2, -7 multiplicity 3

• 2, -7, 3