Question

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

Answer 1

Answer:

96

Step-by-step explanation:

Degree of p(x)=8

⇒ Degree of q(x)=m

⇒ 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

⇒8+m=104

⇒m=96.

Hence, the answer is 96.

Answer 2

The value of m = 96

Given :

• p(x) and q(x) are two polynomials whose degrees are 8 and m respectively

• The degree of polynomial p(x)*q(x) is 104

To find :

The value of m

Solution :

Step 1 of 2 :

Write down the degree of p(x) and q(x)

Here it is given that p(x) and q(x) are two polynomials whose degrees are 8 and m respectively

Degree of p(x) = 8

Degree of q(x) = m

Step 2 of 2 :

Find the value of m

We know that ,

Degree of (p(x)*q(x))= Degree of p(x) + Degree of q(x)

It is given that degree of polynomial p(x)*q(x) is 104

By the given condition

104 = 8 + m

⇒ m = 104 - 8

⇒ m = 96

So Degree of q(x) = m = 96

Hence the value of m = 96

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ Find the value of the expression a² – 2ab + b² for a = 1, b = 1

https://brainly.in/question/28961155

2. to verify algebraic identity a2-b2=(a+b)(a-b)

https://brainly.in/question/10726280

#SPJ3