Polynomial Division

In Order

100

What is the leading term of the answer when you divide 2x³ - 11x² + 12x + 15 by x - 5?

A) x²

B) x³

C) 2x²

D) 2x³

C) 2x²

200

What is the remainder of the answer when you divide 2x³ - 11x² + 12x + 15 by x - 5?

A) -15

B) 0

C) 25

D) 50

D) 50

300

Given f(x) = 2x³ - 11x² + 12x + 15 use the remainder theorem to evaluate f(3).

A) 6

B) 10

C) 12

D) 15

A) 6

400

Is (x + 1) a factor of f(x) = 2x³ - 11x² + 12x + 15?

A) Yes

B) No

Not showing work/thinking is a deduction of points!

B) No

Because f(-1) is not equal to 0.

Outta Order

100

How many terms are in the answer when you divide x⁵ + 12x - 33 - 3x³ by x - 3?

A) 1

B) 4

C) 6

D) 8

C) 6

200

What is the remainder when you divide x⁵ + 12x - 33 - 3x³ by x - 3?

A) -64

B) -12

C) 98

D) 165

D) 165

300

Given f(x) = x⁵ + 12x - 33 - 3x³ use the remainder theorem to evaluate f(-2).

A) -72

B) -65

C) -13

D) 17

B) -65

400

Is (x - 1) a factor of f(x) = x⁵ + 12x - 33 - 3x³?

A) Yes

B) No

Not showing work/thinking is a deduction of points!

B) No

Because f(1) is not equal to 0.

Longish Division

100

Specifically, use long division to divide 2x³ + 2x² - 32x + 40 by x - 1.

A) 2x² + 4x - 28 + 12/(x-1)

B) 2x² + 4x - 28 + 12/(x-1)

C) 2x² + 4x - 30 + 10/(x-1)

D) 2x² + 2x - 30 + 10/(x-1)

A) 2x² + 4x - 28 + 12/(x-1)

200

Given f(x) = 2x³ + 2x² - 32x + 40 use the remainder theorem to evaluate f(2).

A) 0

B) 4

C) 12

D) 25

A) 0

300

Is (x - 2) a factor of f(x) = 2x³ + 2x² - 32x + 40?

A) Yes

B) No

Not showing work/thinking is a deduction of points!

A) Yes

Because f(2) is equal to 0.

400

Factor f(x) = 2x³ + 2x² - 32x + 40, given that (x + 5) is a factor.

A) (x - 1)(x - 2)(x + 5)

B) (x - 2)(x - 2)(x + 5)

C) 2(x - 1)(x - 2)(x + 5)

D) 2(x - 2)(x - 2)(x + 5)

D) 2(x - 2)(x - 2)(x + 5)