Question

5x² + 10x + 2 in the form p(x +q)² + r,

Answer 1

5(
`x^(2)` + 10/2
`x`) + 2

The number in the brackets is b/2a.

So:

5(x + 10/2(5))^2

5(x + 10/10)^2

5(x + 1)^2

Expand the double brackets for (x + 1)^2:

`x^(2)` +
`x` +
`x` + 1

This simplifies to:

`x^2` + 2
`x` + 1

5(
`x^2` + 2
`x` + 1)

5x^2 + 10x + 5

2 - 5 = -3

5(x + 1)^2 - 3

Answer:

5(x + 1)^2 - 3