Question

If p(x) = 6x^4+5x^3-14x^2+2x+2 and q(x) = 3x^2-2x-1 then the remainder when p(x)/p(q) is ax+c find a

Answer 1

Answer:

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Answer 2

The value of a is 1.

Step-by-step explanation:

Given that,

p(x) = $6x^4+5x^3-14x^2+2x+2$

q(x) = $3x^2-2x-1$

Remainder = ax + c

To find,

The value of a = ?

Procedure:

On dividing p(x) by q(x), we get

⇒ $6x^4+5x^3-14x^2+2x+2$ ÷ $3x^2-2x-1$

Quotient = $2x^2 + 3x - 2$

Remainder = x

Therefore,

ax + c = x

On comparing both the sides,

a = 1

Thus, the value of a is 1.

Learn more: Find the value of x

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