Quiz about Polynomial Given Zero

Question 1

Find a polynomial function of degree 3 with zeros 3i and -2.

Accepted Answer

P(x) = x³+2x²+9x+18

Answer

P(x) = x³+2x²+9x+11

Answer

P(x) = x³-2x²+9x+18

Answer

P(x) = x²-3ix+2x-6i

Question 2

Write the polynomial with the given zeros

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 3

Write a polynomial function of least degree with integral coefficients that has the given zeros.

Accepted Answer

x⁴+2x³-16x²-82x-65

Answer

x⁴+2x³-16x²-82x-69

Answer

x⁴+7x³-16x²-82x-65

Answer

x⁴+2x³-16x²-82x-68

Question 4

Write a polynomial function of least degree with integral coefficients that has the given zeros.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 5

Write a polynomial function of least degree with integral coefficients that has the given zeros.

Accepted Answer

x³-5x²+4x-20

Answer

x³-5x²+4x-23

Answer

x³-5x²+4x-19

Answer

x³-10x²+4x-20

Question 6

Use the Complex Conjugate Root Theorem to state another complex solution. Given that -2-5i is a root.

Accepted Answer

-2+5i

Answer

-2-5i

Answer

2+5i

Answer

5i

Question 7

Write the polynomial with the given zeros

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 8

How many total roots/zeros are there in the polynomial.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 9

Use the Rational Root Theorem to determine the list of possible rational roots.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 10

Which of the following is NOT a possible rational zero for p(x).

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 11

Find all the zeros of the polynomial.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 12

Find the zeros of the polynomial.
f(x) = (x-5)(2x+3)(7x-4)(x+6)

Accepted Answer

x= 5, (-3/2), (4/7), -6

Answer

x = 5, (2/3), 6, (7/4)

Answer

x= -5, (3/2), (-4/7), 6

Answer

x= 6, 5, -2/3, -4/7

Question 13

Find the zeros of the polynomial when given factored form.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 14

Find all zeros.

Accepted Answer

x = -3, 1, 1/3

Answer

x= 3,1,1/3

Answer

x= -3, -1, -1/3

Answer

x = 3, -1, -1/3

Question 15

Use the Fundamental Theorem of Algebra to determine the total number of solutions.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Polynomial Given Zero

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