Question

Error Analysis: Kayla said the remainder of x^3+ 2x^2 -4x + 6 divided by

X+ 5 is 149. Is Kayla correct? Explain.
A) None of the above is correct.
B) No, Kayla is not correct, because the remainder is 49. not 149.
C) No, Kayla is not correct, because the remainder is - 49 rot 149.
D) Yes, Kayla is correct, because the remainder is 149.

Answer 1

9514 1404 393

Answer:

C) No, Kayla is not correct, because the remainder is -49 not 149

Explanation:

The remainder from division by x+5 can be found by evaluating the polynomial at x=-5, the value of x that makes the divisor zero.

Evaluation is often easier when the function is written in Horner form.

((x +2)x -4)x +6

For x=-5, this is ...

((-5 +2)(-5) -4)(-5) +6 = (-3(-5) -4)(-5) +6 = 11(-5) +6 = -49

Kayla is not correct; the remainder is -49.