Quiz about Mixed Operations with Polynomials

Question 1

Add the polynomials.
(2x + 5y) + (3x - 2y)

Accepted Answer

5x + 3y

Answer

3x + 5y

Answer

5x + 7y

Answer

7xy + 1xy

Question 2

How many terms are in the following polynomial?
3x³ - 2x + 8x -16

Accepted Answer

3

Answer

-16

Answer

2

Answer

8

Question 3

5x²+ x - x²+ 4x

Accepted Answer

4x2 + 5x

Answer

6x2 + 5x

Answer

4x2 + 3x

Answer

5x2 + 5x

Question 4

(4x²+ x) - (x²+ 2x)

Accepted Answer

3x2 - x

Answer

4x2 + 2x

Answer

3x2 + 3x

Answer

3x2 + 2x

Question 5

Simplify the expression.
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

Accepted Answer

-8n² - 8n + 3

Answer

-7n² - 8n + 3

Answer

-6n²- 8n + 3

Answer

-7n² - 4n + 3

Question 6

(5x+2)(x²-3x+6)

Accepted Answer

5x³ - 13x² + 24x +12

Answer

5x³- 17x²+24x +12

Answer

5x³+ 17x² - 24x +12

Answer

5x³ +13x² - 24x - 12

Question 7

Simplify the expression.
-3x²( 7x²- x + 4)

Accepted Answer

-21x⁴ + 3x³ -12x²

Answer

7x² - x + 4 (-3x²)

Answer

21x⁴+ 3x³+ 12x²

Answer

-12x²+ 3x³-21x⁴

Question 8

Dividex⁴ + x³ +2x² +x -1 by (x+1)

Accepted Answer

x3 + 2x-1

Answer

x² + 2x -1

Answer

x² - 2x + 1

Answer

x³ - 2x + 1

Question 9

Divide 6x²+3x+4 by x²+2

Accepted Answer

6+(3x+8)/(x²+2)

Answer

6x+3

Answer

6+(3x-8)/(x+2)

Answer

6x+(3x+8)/(x²+2)

Question 10

What is the leading coefficient of the following polynomial?
-4x + 7 - 3x³+ 12x²

Accepted Answer

-3

Answer

-4

Answer

7

Answer

12

Question 11

For synthetic division, what would be the number in the left hand box?

Accepted Answer

2

Answer

0

Answer

1

Answer

3

Question 12

What is the remainder R when the polynomial p(x) is divided by (x-5)?
p(x) = x³- 5x²+ 2x - 10

Accepted Answer

0

Answer

2x-10

Answer

-2x-10

Answer

2x+10

Question 13

Use the Polynomial Remainder Theorem to evaluate the function at the given value.
f (x) = -x³+ 6x - 7 at x = 2

Accepted Answer

-3

Answer

3

Answer

2

Answer

None of the above

Question 14

Use the Polynomial Remainder Theorem to evaluate the function at the given value.
f (x) = x³ + x²- 5x - 6 at x = 2

Accepted Answer

-4

Answer

2

Answer

-8

Answer

8

Question 15

What is the remainder of the following problem?
x⁴-3x³+6x²-2x+8 Divide by x-3

Accepted Answer

83

Answer

-224

Answer

224

Answer

-83

Question 16

What is the proper way to write the answer for the following problem?

Accepted Answer

2x³-x²-25x-12

Answer

2x⁴-x³-25x²-12x+0

Mixed Operations with Polynomials

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