Question

Help me ASAP!!!

Answer 1

Answer:

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