Question

Find the difference of the polynomials given below and classify it in terms of degree and number of terms.

Answer 1

Given:

The polynomial is:

$3n^2(n^2+4n-5)-(2n^2-14n+3)$

To find:

The difference of the polynomials and classify it in terms of degree and number of terms.

Solution:

Consider the polynomial,

$P(x)=3n^2(n^2+4n-5)-(2n^2-14n+3)$

On simplification, we get

$P(x)=3n^4+12n^3-15n^2-2n^2+14n-3$

$P(x)=3n^4+12n^3-17n^2+14n-3$

The degree of this polynomial is 4 and the number of terms is 5.

Therefore, the correct option is D.