Rational Roots, Remainder Theorem, and Factoring Completely

5x³ - 40x² + 60x

• (5x²-2) (x-6)

• 5x(x-2) (x-6)

• 5x(x²-8x+12)

• PRIME

60m³ + 54m² - 6m

• (6m²+6m) (10m-1)

• (60m²-1) (m+1)

• 6m (10m-1) (m+1)

• PRIME

15m³ + 24m² + 9m

• 3m(5m²+8m+3)

• 3m(5m+3) (m+1)

• 3m(5m-3) (m-1)

• PRIME

What is the remainder when (5x²⁰ – 19) is divided by (x ─ 1)?

• 81

• 14

• - 14

Tags

CCSS.HSA.APR.B.2

The expression x³ ─ kx² +2x +5 leaves a remainder of 2 when divided by x ─ 3. Find the value of k.

• 4

• -4

• 8

Tags

CCSS.HSA.APR.B.2

Find the remainder when P(x) = 3x² + 5x + 10 is divided by 3x ─ 1 .

• 3

• 6

• 12

Tags

CCSS.HSA.APR.B.2

If (x-2) is not a factor of (2x³-5x-7), what is the remainder?

• -13

• 4

• 13

• -1

Tags

CCSS.HSA.APR.B.2

When (9x⁴- 45x³ + 37x² + x +2) is divided by (x-2), find the remainder.

• 656

• 652

• -64

• -368

Tags

CCSS.HSA.APR.B.2

Which statement is true?

• (x-3) is a factor of (x³ - 3x² + 2x + 2)

• (x-3) is not a factor of (x³ - 3x² + 2x + 2)

• The remainder when (x³ - 3x² + 2x + 2) is divided by (x-3) is zero.

• The remainder when (x³ - 3x² + 2x + 2) is divided by (x-3) is not zero. The remainder is 17.

Tags

CCSS.HSA.APR.B.2

Determine the remainder of (10x⁴ - 50x³ - 800) ÷ (x - 6).

• -740

• 1,360

• 22,960

• 0

Tags

CCSS.HSA.APR.B.2