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Consider this polynomial, where a is an unknown real number.

The remainder of the quotient of , and 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 found the value of a because he .
Zahra found the value of a because she .

Braulio method is the correct method.

a = 3

Step-by-step explanation:

p(x) = x⁴ + 5x³ + ax² - 3x +11

Braulio uses the synthetic division method

x + 1, remainder = 17

x = -1

Hence,

From the attached picture, we can see that using the remainder theorem, Braulio got

a + 14 = 17

a = 3

This is very correct.

Using the remainder theorem

p(x) = x⁴ + 5x³ + ax² - 3x +11

x = -1

= (-1)⁴ + 5 (-1)³ + a(-1)² - 3(-1) + 11

= 1 -5 + a + 3 + 11

= -4 + a + 14

=0(a + 10) + 17

a + 10 = 17

a = 17 - 10

a = 7

Both are incorrect

Step-by-step explanation:

I did this and got it wrong both incorrect

step-by-step explanation:

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about the problem:

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