Question

Use long division to find the quotient below.

(4x2 - 7x- 2) = (x-2)
O A. 3x + 1
O B. 4x+ 1
O C. 4x-1
O D. 3x - 1

Answer 1

(4x² - 7x - 2) ÷ (x-2)

I have placed the terms corresponding to each variable, for x squared I put 4, for x - 7 and for c (constant) I put - 2.

We go down 4, which will multiply to 2.

¿Why 2?

This is obtained by matching the denominator to 0.

`x-2=0\rightarrow \boxed{x=2}`

Then we multiply 4 by 2, give us 8, add this value to the variable x (- 7), we have 1.

Multiply 1 by 2, give us 2, add this value to the constant (- 2), we have 0. ¡Finish!

Answer: 4x + 1

Answer 2

Number B: 4x+1

Explanation:

I used synthetic division instead, But hope this helps.