Question 6.

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

A. -2x^3 + 5x^2 + x - 7
B. 2x^3 + 5x^2 + x + 1
C. 2x^3 + 5x^2 + x - 7
D. 2x^3 + 5x^2 + x + 1
Connexus - Polynomials and properties of unit test . Unit 5 lesson 7

I'm confused on what to do. If anyone could help me figure it out and show the steps to figure it out would be great. Thank you :)

1 answer

To solve this problem, you just need to distribute the negative sign to every term inside the brackets, and then combine like terms.

So,

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

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

= 2x^3 + 5x^2 + x - 7

Therefore, the answer is option A, -2x^3 + 5x^2 + x - 7.