Question

Write the quadratic equation in standard form:
7x + 8 + 2x2
2x + 1 + x2

Answer 1

`3x^2 + 9x +9`

Explanation:

Given

`(7x + 8 + 2x^2) + (2x + 1 + x^2)`

Required

The result in standard form

We have:

`(7x + 8 + 2x^2) + (2x + 1 + x^2)`

Remove brackets

`7x + 8 + 2x^2 + 2x + 1 + x^2`

Collect like terms

`7x+ 2x + 8 + 1 + 2x^2+ x^2`

`9x + 9+ 3x^2`

The standard form of a quadratic equation is:

`ax^2 + bx + c`

So, we have:

`9x + 9+ 3x^2`

`3x^2 + 9x +9`