Polynomials

x³-3x²-10x+24 ÷ x+3 (Use synthetic division.)

• x²-7x+5

• x-8

• x²-6x+8

• x+9

Tags

CCSS.HSA.APR.D.6

Is the binomial x - 9 a factor of 4x² -33x -27?

• yes

• no

What is the remainder when the polynomial p(x) is divided by (x-5)?

p(x) = x³ - 5x² + 2x - 10

• 0

• -10

• -2x-10

• 2

Tags

CCSS.HSA.APR.B.2

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

• 2x³-x²-25x-12

• 2x⁴-x³-25x²-12x+0

Tags

CCSS.HSA.APR.D.6

What are the three factors for

(x³ +7x² +7x -15) ÷ (x -1)?

• (x-1) (x+5) (x-3)

• (x-1) (x+5) (x + 3)

• (x+1) (x+5) (x-3)

• (x+1) (x-5) (x-3)

Tags

CCSS.HSA.APR.B.2

Factor: x³ + 1

• (x + 1)³

• (x+1)(x² - x + 1)

• (x - 1) (x² + x - 1)

• (x + 1)(x² - 2x + 1)

Factor by grouping:

4p³+8p²+3p+6

• (2p²+3)(p+2)

• (2p²+6)(p+4)

• (4p²+3)(p+2)

• (4p²+8p)(3p+6)

Factor: x³ - 343

• (x + 7) (x² - 7x + 49)

• (x² + 1) (x - 343)

• (x - 7) (x² + 7x + 49)

• (x² - 343) (x + 1)

Factor: v³-5v²+9v

• v²(v-5+9)

• 5(v³+9v)

• v(v²-5v+9)

• 9v(v²-5v+1)

Factor:  27x³ + 8

• (3x + 2)(9x² - 6x + 4)
• (9x + 2)(3x² + 18x + 4)
• (3x²+4)(9x + 2)
• (27x + 8)(x² - 216x + 64)