The Remainder Theorem states that if a polynomial f(x) is divided by x - k, the remainder is r = f(k).

In this case, we are dividing by x + 3, so we can rewrite this as x - (-3). Therefore, k = -3.

We substitute -3 into the polynomial:

5(-3)^2 + 9(-3) - 2 = 5(9) - 27 - 2 = 45 - 27 - 2 = 16

So, the remainder when 5x^2 + 9x - 2 is divided by x + 3 is 16. The answer is C.16.

Question

The Remainder Theorem states that if a polynomial f(x) is divided by x - k, the remainder is r = f(k).

In this case, we are dividing by x + 3, so we can rewrite this as x - (-3). Therefore, k = -3.

We substitute -3 into the polynomial:

5(-3)^2 + 9(-3) - 2 = 5(9) - 27 - 2 = 45 - 27 - 2 = 16

So, the remainder when 5x^2 + 9x - 2 is divided by x + 3 is 16. The answer is C.16.

Knowee AI · Accepted Answer

The Remainder Theorem states that if a polynomial f(x) is divided by x - k, the remainder is r = f(k).

In this case, we are dividing by x + 3, so we can rewrite this as x - (-3). Therefore, k = -3.

We substitute -3 into the polynomial:

5(-3)^2 + 9(-3) - 2 = 5(9) - 27 - 2 = 45 - 27 - 2 = 16

So, the remainder when 5x^2 + 9x - 2 is divided by x + 3 is 16. The answer is C.16.

Use the Remainder Theorem to divide 5x2 + 9x – 2 by x + 3. What is the remainder?A.40B.-44C.16D.-20SUBMITarrow_backPREVIOUS