Question

The variables A, B, and C represent polynomials where A = x + 1, B = x2 + 2x − 1, and C = 2x. What is AB + C in simplest form?


2 is exponents

Answer 1

Answer:

Step-by-step explanation:

Given:

A = x + 1 ,

B = x2 + 2x − 1 = 4x −1 and

C = 2x

To find: AB + C = ?

Solution:

AB + C = [(x + 1)(4x −1)] + 2x

= [x(4x+1) + 1(4x+1)] + 2x

= [4x^2 +1x + 4x +1] +2x

= 4x^2 + 5x + 1 + 2x

= 4x^2 + 7x + 1

AB + C in simplest form is 4x^2 + 7x + 1