# Find the remainder when f(x) is divided by (x - k)

f(x) = 7x^{4} + 12x^{3} + 6x^{2} - 5x + 16; k = 3

**Solution:**

We will use the remainder theorem to find the remainder.

f(x) = 7x^{4} + 12x^{3} + 6x^{2} - 5x + 16 is divided by (x - k)

⇒ x = k where value of k = 3 (given)

Substitute the value of k = 3 for x.

f(k = 3) = 7(3)^{4} + 12(3)^{3} + 6(3)^{2} - 5(3) + 16

f(k = 3) = 567 + 324 + 54 - 15 + 16

f(k = 3) = 567 + 324 + 54 + 1

f(k = 3)= 946

## Find the remainder when f(x) is divided by (x - k)

f(x) = 7x^{4} + 12x^{3} + 6x^{2} - 5x + 16; k = 3

**Summary: **

The remainder when f(x) = 7x^{4} + 12x^{3} + 6x^{2} - 5x + 16 is divided by (x - k); k = 3 is 946.

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