Question

What is the product of (x+1) and (2x^2+3x-1)

Answer 1

(x + 1)(2x^2 + 3x - 1) : Can be solved in multiple ways but easiest for me :P

x (2x^2 + 3x - 1) + 1(2x^2 + 3x - 1)

(2x^3 + 3x^2 - x) + (2x^2 + 3x - 1)

2x^3 + 5x^2 + 2x - 1

Answer 2

Product is 2x³ + 5x² + 2x - 1.

Explanation:

Given : (x+1) and (2x²+3x-1).

To find : what is the product .

Solution : We have given that

(x+1) and (2x²+3x-1).

Product : (x+1)(2x²+3x-1).

Now, distribute x+ 1 over 2x²+3x-1.

x ( 2x²+3x-1) + 1( 2x²+3x-1).

2x³ + 3x² - x + 2x²+3x-1.

Combine like terms

2x³ + 2x²+3x² - x +3x-1.

2x³ + 5x² + 2x - 1.

Therefore, Product is 2x³ + 5x² + 2x - 1.