Solve Polynomials

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

• 8
• 9
• 5
• 3

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

Tags

CCSS.HSF-IF.C.7C

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

The largest exponent determines the degree of the polynomial.

• True
• False

All imaginary roots comes in pairs.

• True
• False

Tags

CCSS.HSN.CN.C.9

What is the degree of a polynomial that has roots of -2, 4i and -4i ?

• 3
• 4
• 1
• 2

If 2i is a zero, then

• 2i repeats twice
• -2i is a zero too
• 1-2i is a zero too
• 0+2i is a zero too

Using the rational root theorem, which of these is a possible root of the polynomials? x³ - 6x² - x + 30

• 0
• 4
• -9
• -15

Which of the following roots match the above polynomial:

• -3,-1,4
• -3,2i,-2i

What is the total number of roots for the following equation?
y = 4x⁶ - 12x⁵ - x⁴ + 2x³ - 6x² - 5x + 10

• 4
• 5
• 6
• 7