Polynomials Given a Zero

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

• 8
• 9
• 5
• 3

Use the Fundamental Theorem of Algebra to state the number of zeros/solutions/roots of the polynomial. 

• A
• B
• C
• D

What is the Degree of this polynomial:
f(x)= x³(x + 3)²(x – 5)

• Degree: 6
• Degree: 5
• Degree: 3
• Degree: 2

The degree of the polynomial determines the number of roots.

• True
• False

All imaginary roots comes in pairs.

• True
• False

Tags

CCSS.HSN.CN.C.9

The largest exponent determines the degree of the polynomial.

• True
• False

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

Use the Complex Conjugate Root Theorem to state another complex solution. Given that 3+5i is a root. 

• -3+5i
• -3-5i
• -5i
• 3-5i

Tags

CCSS.HSN.CN.A.3

Using the following roots, write in factored form.

-6, √6, 3

• (x+6)(x+√6)(x-3)

• (x-6)(x-√6)(x+3)

• (x+6)(x-√6)(x+3)

• (x+6)(x-√6)(x-3)

Tags

CCSS.HSA.APR.B.3