Question

If
P(x)=g(x).q(x)+r(x) then degree of P(x) is equal to:

(a) product of degrees of g(x) and q(x)

(b) product of degrees of g(x) and r(x)

(c) sum of degrees of g(x) and q(x)

(d) sum of degrees of g(x) and r(x)​

Answer 1

Answer:

opinion d is the correct answer

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Answer 2

Answer:

The correct answer is option (a) product of degrees of g(x) and q(x).

Step-by-step explanation:

The standard form of the quadratic polynomial is represented as,

$p(x)=a x^{2}+b x+c$, where $a \neq 0$.

If $p(x)$ and $g(x)$ are any two polynomials with $g(x) \neq 0$, then the polynomials

$q(x)$, and $r(x)$ such that,

$p(x)=g(x) \times q(x)+r(x)$

By Division Algorithm for polynomials, the product of degrees of $g(x)$ and

$q(x)$, and addition of $r(x)$ gives the degree of the polynomial $p(x)$.

Therefore, option (a) product of degrees of g(x) and q(x) is the correct answer.

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