Question

Write the polynomial in standard form. Then name the polynomial based on it's degree and number of terms.

8 - 4x^2 + 10x^2 + 2x

a 14x^2 + 2x + 8, quadratic trinomial
b 6x^2 + 10x^2 + 2x, quadratic binomial
c 6x^2 + 2x + 8, quadratic trinomial
d 8x^3 + 8, cubic binomial

Answer 1

Choice c is the answer.

Explanation:

We have given a expression.

8 - 4x² + 10x² + 2x

We have to rewrite the given expression in standard form.

ax²+bx+c is standard form of quadratic expression.

Adding the like terms , we have

8+(-4+10)x²+2x

8+(6)x²+2x

writing above expression in decreasing power order, we have

6x²+2x+8

Degree : 2

Number of terms: 3

so. it is a quadratic trinomial.

Hence, Choice c is the answer.

Answer 2

c. 6x^2 + 2x + 8, quadratic trinomial

EXPLANATION

The given polynomial is

`8 - 4 {x}^(2) + 10 {x}^(2) + 2x`

We regroup the terms to get;

`10 {x}^(2) - 4 {x}^(2) + 2x + 8`

Simplify now to obtain:

`6 {x}^(2) + 2x + 8`

This is a quadratic polynomial function based on the degree.

It is also a trinomial based on the number of terms.

The correct answer is C