Question

The degree of a polynomial $A$ is $7$ and that of polynomial $AB$ is $56$, then find the degree of polynomial $B$.

• A. $49$
• B. $42$
• C. $50$
• D. $48$

Answer 1

The correct option is A

$49$

Explanation of correct option

Finding the degree of the polynomial

We know, $\frac{a^x}{a^y}=a^{x-y}$

Now, given that degree of $AB$ is $56$ and $A$ is $7$

Hence, degree of $B=\frac{AB}{A}=56-7=49$ $\left[\because deg\left(A\right)+deg\left(B\right)=deg\left(AB\right)\right]$

Hence, option A is correct.