Question

The degree of the polynomial $(4x^3+2x+3)(3x^3+5x^4+1)$ is .

Answer 1

When two polynomial are multiplied then the degree of the resultant polynomial would be the sum of the degree of two polynomials.

Here,

The degree of $(4x^3+2x+3)$ is $3$ and the degree of $(3x^3+5x^4+1)$ is $4$.

Therefore, the degree of the resultant polynomial would be $=3+4=7$

Hence, the degree of the polynomial $(4x^3+2x+3)(3x^3+5x^4+1)$ is $7$.