Question

Sena determines the remainder of 4x32−14x16+2x3−8x−1, using the remainder theorem. How does she proceed to the correct answer? Drag a value into each box to correctly complete the statements.

Answer 1

Answer: x = 1 and -16

Explanation:

(4x^32 - 14x^16 + 2x^3 - 8)/x - 1

x - 1 = 0
x = 1

f(x) = 4x^32 - 14x^16 + 2x^3 - 8
f(1) = 4(1)^32 - 14(1)^16 + 2(1)^3 - 8
f(1) = 4 - 14 + 2 - 8
f(1) = -10 - 6
f(1) = -16

Therefore, the remainder is -16