Question

Find the remainder when p(x) = x5 + ax4 + x3 + ax2 + x + 3 is divided by x + a.

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Answer 1

Answer:

Remainder=3-a

Step-by-step explanation:

x+a=0

x=-a

Using remainder theorem, x=-a is the zero of the polynomial.

p(x) = x⁵ + ax⁴ + x³ + ax² + x + 3

p(a)= (-a)⁵+a(-a)⁴+(-a)³+a(-a)²-a+3

=-a⁵+a⁵-a³+a³-a+3

=3-a

Remainder=3-a

Hope It Helps

Answer 2

Answer:

Step-by-step explanation:

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