Remainder Theorem to Evaluate

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

• 656

• 652

• -64

• -368

If (2x²+10) is divided by (x -1), then what is the remainder?

• 12

• 0

• -12

• 8

What will be the remainder when the polynomial p(x) = 7x³-36x²-42x+30 is divided by x-6

• -2

• -4

• -1

• -6

What is the remainder when x⁴ - 5 is divided by x + 3?

• 76

• 81

• 7

• g(4)=0

• g(-4)=0

• x-4 is a factor of g(x).

• No conclusion can be made regarding g(x).

Use an appropriate procedure to show that x−4 is a factor of the function f(x)=2x^3−5x^2−11x−4. Explain your answer.

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

• -86

• 86

• 1

• -1

• 9

• -9