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Polynomial Division & Factor & Remainder Theorems (2)

Authored by Huguette Williams

Mathematics

10th - 11th Grade

CCSS covered

Used 5+ times

Polynomial Division & Factor & Remainder Theorems (2)
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12 questions

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1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Write f(x) in factored form if

f(x) / (x+2) = (x3 -3x2 -4x +12) ÷ (x + 2)?

(x-2) (x+2) (x+3)

(x-2) (x-2) (x+3)

(x+2) (x+2) (x+3)

(x-2) (x+2) (x-3)

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.B.3

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which of the following is a COMPLETE  list of all possible Rational Zeros?
f(x) = 2x3 + 5x2 - 9x + 5

±1, ±5, ±1/2, ±5/2
±1, ±2, ±5, ±1/2, ±5/2
±1, ±5
±1, ±2, ±5, ±1/2, ±5/2, ±2/5

Tags

CCSS.HSA.APR.B.2

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

            Is (x-2) a factor of             f(x)= x3-8x2+14x-4?

Yes, (x-2) is a factor. There is a remainder.
No, (x-2) is  not a factor. The remainder is zero.
Yes, (x-2) is a factor. The remainder is zero.
No, (x-2) is  not a factor. There is a remainder. 

Tags

CCSS.HSA.APR.B.2

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

When a polynomial function f(x) is divided by

(x + 2), the remainder is 0.

What is f(-2)?

-2

0

2

cannot be determined

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

When setting up this synthetic division, what polynomial is being divided?

2x4 + 3x2 - x + 2
2x4 + 3x3 - x2 + 2
2x4 - 3x2 + x - 2
cannot be determined

Tags

CCSS.HSA.APR.D.6

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

A polynomial  factors as 
 f(x) =  x3(x + 1)2(x - 4). List the zeros of f(x) and their multiplicity.

0 multiplicity 3, 1 multiplicity 2, -4 multiplicity 1
0 multiplicity 3, -1 multiplicity 2, 4 multiplicity 1
 1 multiplicity 2, -4 multiplicity 1
 -1 multiplicity 2, 4 multiplicity 1

Tags

CCSS.HSF-IF.C.7C

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What are the
zeros 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

Tags

CCSS.HSF-IF.C.7C

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