Polynomial Theorems

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

• 656

• 652

• -64

• -368

Tags

CCSS.HSA.APR.B.2

Is (x-4) a factor of (x³ +x² -16x-16)?

• YES

• NO

Tags

CCSS.HSA.APR.B.2

(2x³ - 5x² + 3x + 7) ÷ (x - 2)

• 2x³ - x² + x + 9

• 2x² - x + 1

• 2x² - x + 1 + 9/x-2

• 2x² - 9x - 15 - 23/x-2

Tags

CCSS.HSA.APR.D.6

(x – r) is a factor of P(x) if and only if __________.

• P(r) ≠ 0

• P(r) = 1

• P(r) = 0

• P(r) has two negative roots

Tags

CCSS.HSA.APR.B.2

Which of the following theorems allow us to use synthetic division to evaluate a polynomial at a given value?

• Fundamental Theorem of Algebra

• Remainder Theorem

• Factor Theorem

• Theorem of Polynomial Evaluation

Tags

CCSS.HSA.APR.B.2

Which of the following theorems tells us that if the degree of the polynomial is 3, then there are exactly three solutions to the polynomial?

• Fundamental Theorem of Algebra

• Remainder Theorem

• Factor Theorem

• Degree and Solutions Theorem

Tags

CCSS.HSN.CN.C.9

Which of the following is a COMPLETE  list of all possible Rational Zeros?
f(x) = 3x³ + 2x² - 6x + 7

• ±1, ±7, ±1/3, ±7/3

• ±1, 7

• ±1, ±3, ±7, ±7/3

• ±1, ±3, ±7, ±1/3, ±7/3

According to the Rational Root Theorem, what are the all possible rational roots? 
2x³ - 11x² + 12x + 9 = 0

• ±1,±2

• ±1,±3,±9

• ±1,±3±9,±1/2,±3/2,±9/2

• ±1,±2,±1/3,±2/3,±1/9,±2/9

Use the Complex Conjugate Root Theorem to state another complex solution. Given that 3+5i is a root. 

• -3+5i

• -3-5i

• -5i

• 3-5i

Tags

CCSS.HSN.CN.A.3

Expand

• A

• B

• C

• D

Tags

CCSS.HSA.APR.C.5