Polynomial Functions and Number of Real Zeros

Find all zeros. One zero has been given.
f(x) = x⁴ + 8x³ + 14x² - 8x - 15; x = -5

• -2,1,-1,-5
• -3,1,-1,-5
• 3,-3,4,0
• -1,1-5,3

If the binomial (x - 7) is a factor of the polynomial function f(x), which statement must be true?

• f(7) = -7
• f(7) = 0
• f(-7) = 0
• f(-7) = -7

Tags

CCSS.HSA.APR.B.2

Factor f(x)= x³ - 2x²-13x - 10  given that (x - 5) is one factor.

• (x- 5)(x - 1)(x - 2)
• (x - 5)(x + 2)(x - 2)
• (x - 5)(x + 2) (x + 1)
• (x - 5)(2x - 13)

Tags

CCSS.HSA.APR.B.2

Find all the roots of y=x³-2x²+4x-8  (Hint: Factor)

• -2, 2i, -2i
• 2, 2i, -2i
• 2,-2, 2i
• 1, 2i, 4

Factor:
 x³-12x²+47x-60=0 when 5 is a root.

• (x-3)(x-4)(x-5)=0
• (x+1)(x-4)(x-5)=0
• (x-3)(x-4)(2x-5)=0
• (x-5)(x-4)(x-5)=0

Tags

CCSS.HSA.APR.B.2

List all possible rational zeros
f(x) = 3x⁵-5x²+x+6

• 1, 2, 3, 6, -1, -2, -3, -6
• 1/3,2/3,1,2,3,6,-1/3,-2/3,-1,-2,-3,-6
• 1/3,2/3,1,2,3,6

Tags

CCSS.HSA.APR.B.2

How many roots or zeros does the equation
f(x) = 5x⁴-8x³+4x²-6x+3 have?

• 3
• 4
• 5
• 0

Classify the function:

• quadratic
• cubic 
• quartic
• linear

• The degree is Odd

• The degree is Even

• The function has 5 real zeros

• The function is Positive

• The function is Even
• The function is Positive
• The function has 4 real zeros
• The function has 3 real zeros