Question

select the correct answer from each drop - down menu.
consider this polynomial, where a is an unknown real number.
p(x)=x^{4}+5x^{3}+ax^{2}-3x + 11
the remainder of the quotient of p(x), and (x + 1) is 17.
braulio uses synthetic division to find the value of a, and zahra uses the remainder theorem to find the value of a. their work is shown.
braulio
|1|1 5 a -3 11
| | 1 6 a + 6 a + 3
| |1 6 a + 6 a + 3 a + 14
a + 14 = 17
a = 3
zahra
p(-1)=(-1)^{4}+5(-1)^{3}+a(-1)^{2}-3(-1)+11
=-1 + 5 - a + 3 + 11
=a + 18
p(-1)=17
a + 18 = 17
a = -1
braulio drop - down found the value of a because he drop - down.
zahra drop - down found the value of a because she drop - down.

Explanation:

Answer:

incorrectly used synthetic division (sign error in root), correctly used the remainder theorem