What must be added to 3x - 7 to make x² + 4x - 1?

Solution:

Given, the expression is x² + 4x - 1.

We have to find the term that must be added to 3x - 7 to obtain the given expression.

Let the term to be added be A.

Now, A + 3x - 7 = x² + 4x - 1

On rewriting the expression,

A = x² + 4x - 1 - 3x + 7

A = x² + 4x - 3x - 1 + 7

A = x² + x + 6

Therefore, the term to be added is x² + x + 6.

What must be added to 3x - 7 to make x² + 4x - 1?

Summary:

x² + x + 6 must be added to 3x - 7 to make x² + 4x - 1.