Question

Find the sum and classify the polynomial based on degree and number of terms. 3n^2(5n^2 -2n +1) + (4n^2 -11n^4 -9) (A.) 4th degree polynomial with 4 terms (B.) 4th degree polynomial with 3 terms (C.) 3rd degree polynomial with 3 terms (D.) 3rd degree polynomial with 4 terms

Answer 1

From the given polynomial , the sum is $4n^4-6n^3+7n^2-9$

It is a 4th degree polynomial with 4 terms

Given :

The polynomial sum is

$3n^2(5n^2 -2n +1) + (4n^2 -11n^4 -9)$

Distribute 3n^2 inside the parenthesis

$15n^4-6n^3+3n^2+(4n^2-11n^4-9)\\15n^4-6n^3+3n^2+4n^2-11n^4-9\\combine \; like \; terms\\4n^4-6n^3+7n^2-9$

From the above polynomial , the highest exponent is 4

The degree of the polynomial is 4

Total we have 4 terms in the polynomial

So the final polynomial is

4th degree polynomial with 4 terms

Learn more : brainly.com/question/10024410