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Standard IX

Mathematics

Degree of a Polynomial

If px and qx ...

Question

If $p (x)$ and $q (x)$ are two polynomials whose degrees are 8 and m respectively and the degree of polynomial $p (x) \times q (x)$ is 104, then the value of m is

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112

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Solution

The correct option is C 96
Given: degree of $p (x) = 8$ and degree of $q (x) = m$
Degree of $(p (x) \times q (x))$ = (Degree of $p (x)$ ) + (Degree of $q (x)$ )
$\Rightarrow 104 = 8 + m$
$\Rightarrow m = 104 - 8 = 96$
Hence, the correct answer is option (3).

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If p(x) and q(x) are two polynomials whose degrees are 8 and m respectively and the degree of polynomial p(x)×q(x) is 104, then the value of m is

The correct option is C 96Given: degree of p(x)=8 and degree of q(x)=m Degree of (p(x)×q(x)) = (Degree of p(x)) + (Degree of q(x)) ⇒104=8+m ⇒m=104–8=96 Hence, the correct answer is option (3).

If $p (x)$ and $q (x)$ are two polynomials whose degrees are 8 and m respectively and the degree of polynomial $p (x) \times q (x)$ is 104, then the value of m is

The correct option is C 96
Given: degree of $p (x) = 8$ and degree of $q (x) = m$
Degree of $(p (x) \times q (x))$ = (Degree of $p (x)$ ) + (Degree of $q (x)$ )
$\Rightarrow 104 = 8 + m$
$\Rightarrow m = 104 - 8 = 96$
Hence, the correct answer is option (3).