Question

6
R). Express 2x2 - 8x + 5 in the form a(x + b)² + c where a, b and
c are integers​

Answer 1

`\large \boxed{\sf \ \ a = 2, \ b = -2, \ c = -3 \ \ }`

Explanation:

Hello,

`2x^2 - 8x + 5=2(x^2-4x)+5\\\\\text{*** We notice that *** }\\\\\text{*** } x^2-4x=(x-2)^2-2^2=(x-2)^2-4\\\\\text{*** So we can write ***}\\\\2x^2 - 8x + 5=2(x^2-4x)+5=2\left( (x-2)^2-4\right)+5\\\\=2\left(x-2\right)^2-8+5=\boxed{2\left(x-2\right)^2-3}`

So a = 2, b = -2, c = -3

Hope this helps.

Do not hesitate if you need further explanation.

Thank you