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

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Solution

Degree of $p (x) = 8$
$\Rightarrow$ Degree of $q (x) = m$
$\Rightarrow$ Degree of $p (x) q (x) = 104$
Since degrees are nothing but highest exponents to the variables multiplying two variables with powers of $8$ and $m,$ we will get
$\Rightarrow 8 + m = 104$
$\Rightarrow m = 96.$
Hence, the answer is $96.$

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

Degree of p(x)=8⇒ Degree of q(x)=m⇒ Degree of p(x)q(x)=104Since degrees are nothing but highest exponents to the variables multiplying two variables with powers of 8 and m, we will get ⇒8+m=104⇒m=96.Hence, the answer is 96.

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