Find the X-Intercepts from a Polynomial

How many zeros does the following function have?
f(x)= x⁵ - 3x³ + x

• 8

• 9

• 5

• 3

Which of the following roots match the above polynomial:

• -3,-1,4

• -3,2i,-2i

Find the zeros of the polynomial given one factor. Use synthetic division.

• X= 3,4,5

• x=-3,-4,-5

• x=-3,4,5

• x= 3, -4, -5

How many solutions does the polynomial f(x)=3x⁴ + 5x² - 6x have?

• 4

• 2

• 3

• 5

Identify the x-intercepts:
y= -3(x-5)(x+5)

• (-5,0)(5,0)

• (5,0)(-5,0)

• (5,0)(0,5)

• (0,5)(0,-5)

What are the x-intercepts of the polynomial
y = 3 (x + 4) (x + 1) (x - 3)?

• -4, -1, 3

• 3, -3, 4, 1

• 4, 1, -3

• 3, -4, -1, 3

• (0, 0) and (5, 0)

• (5, 0) and (-7, 0)

• (0, 0) and (-7, 0)

• (-5, 0) and (-7, 0)

Answer explanation

To find the x-intercepts, take the opposite values of the numbers in the ( ).

What are all the x-intercepts?

• (-2.55, 0), (2.55, 0)

• (-3,0), (-2,0), (2,0), (3,0)

• (0, 36)

• (-∞,∞)

Solve for the values of x:
(x - 3)(x + 6) = 0

• { -3, -6 }

• { 3, -6 }

• { -3, -6 }

• { 3, 6 }