Express x^2+8x+15 in the form (x+a)^2+b

Rhianna

Rhianna

Answered question

2022-09-21

Express x^2+8x+15 in the form (x+a)^2+b

Answer & Explanation

nick1337

nick1337

Expert2023-05-28Added 777 answers

To express the quadratic expression x2+8x+15 in the form (x+a)2+b, we need to complete the square by finding the values of a and b.
Let's begin:
1. Take the coefficient of the x term, which is 8, divide it by 2, and square the result:
(82)2=16.
2. Add and subtract the value obtained in step 1 inside the parentheses:
x2+8x+1616+15.
3. Rearrange the expression by grouping:
(x2+8x+16)1+15.
4. Recognize the expression inside the parentheses as a perfect square:
(x+4)21+15.
5. Simplify the remaining constants:
(x+4)2+14.
Therefore, the expression x2+8x+15 can be expressed in the form (x+a)2+b as:
(x+4)2+14.

Do you have a similar question?

Recalculate according to your conditions!

New Questions in Algebra

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?