Question

Perform the operation indicated, then place the answer in the proper location on the grid. Write your answer in descending powers of x.

What must be added to 3x -7 to make x 2 + 4x -1?
By how much does a 3 - 2a exceed a 2 + a - 6?

Answer 1

To find the expression to be added, distribute a negative sign to each term of the given expression and combine like terms.

Step-by-step explanation:

To find what must be added to 3x - 7 to make x^2 + 4x - 1, we need to subtract the given expression from x^2 + 4x - 1. This can be done by distributing a negative sign to each term of 3x - 7. So, the expression becomes -3x + 7. Now, we can combine like terms and simplify the expression to get the final answer in descending powers of x.

x^2 + 4x - 1 - (3x - 7) = x^2 + 4x - 1 - 3x + 7 = x^2 + x + 6

Therefore, the answer is x^2 + x + 6 and it should be placed in the proper location on the grid.