Question

What is the difference of the following polynomials?

(6x^3-2x^2+4)

-(2x^3+4x^2-5)



4x^3-2x^2-1
8x^3+6x^2-1
4x^3-2x^2+1
4x^3-6x^2+9

Answer 1

(6x^3-2x^2+4) - (2x^3+4x^2-5)

Subtract the like terms

6x^3 - 2x^3 = 4x^3

-2x^2 - 4x^2 = -6x^2

4 - (-5) = 9

The final answer would be

4x^3 - 6x^2 + 9

Answer 2

D) 4x^3 -6x^2 + 9

Explanation:

Given: 6x^3-2x^2+4) - (2x^3+4x^2-5)

Distribute the negative sign, we get

6x^3 -2x^2 + 4 -2x^3 -4x^2 + 5

Now combine the like terms and simplify.

= 6x^3 -2x^3 -2x^2 -4x^2 + 4 +5

= 4x^3 -6x^2 + 9

Answer: D) 4x^3 -6x^2 + 9

Hope this will helpful.

Thank you.