Question

Express x2 + 4x - 7 in the form (x + a)? - b where a and b are integers.​

Answer 1

Answer: (x+2)^2 -11

Step-by-step explanation:

X^2 +4x -7

Half the middle term, add it to x and put them into a bracket and square it

(X+2) ^2 -7

Square the second term to get 4 and then take that away from 7. (We do this because if we had the extra 4, our answer when’s we multiplied out of the brackets wouldn’t be x^2 +4x -7.)

(X+2)^2 -7 -4

Now simplify the whole numbers outside the bracket

(X+2) ^2 -11