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Coefficients of a Polynomial

What is the s...

Question

What is the sum of the coefficients of $x^{2}$ in the polynomials

$p (x) = x^{2} + 2 x + 1$
$q (x) = 3 x^{2} + 4 x + 2$ ?

A

3

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B

4

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C

5

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D

6

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Solution

The correct option is B 4
Coefficient of $x^{2}$ in $p (x)$ is 1.
Coefficient of $x^{2}$ in $q (x)$ is 3.

Sum of the coefficients of $x^{2}$ is 1 + 3 = 4

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Similar questions

Now for each pair of polynomials p(x) and q(x) given below, find p(x) + q(x) and p(x) − q(x). Also compute p(1) + q(1) and p(1) − q(1) for each.

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(ii)

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(iv)

(v)

Now in each of the following, find the quotient and remainder on dividing p(x) by q(x) and write then in the form p(x) = u(x) q(x) + v(x).

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(ii)

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(vi)

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Q. What is the sum of the coefficients of

x^{2}

in the polynomials

p (x) = x^{2} + 2 x + 1

q (x) = 3 x^{2} + 4 x + 2

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