Question

Write two polynomials with a difference of 2x2 + x + 3

Answer 1

The two polynomial CAN be
`5x^4+5x^3+8x^2+x+6` and
`5x^4+5x^3+8x^2+2x+13`.

Explanation:

Step 1: Simplify the expression:

`2*2 + x + 3`

`4+x+3`

`x+7`

Step 2: Think of a random polynomial:

`5x^4+5x^3+8x^2+x+6`

Step 3: Either add your "random polynomial" by
`x+7` or subtract it.

I want to add it so...

`5x^4+5x^3+8x^2+x+6+x+7`

=
`5x^4+5x^3+8x^2+2x+13`

Check by subtracting
`5x^4+5x^3+8x^2+x+6` and
`5x^4+5x^3+8x^2+2x+13`.

`5x^4+5x^3+8x^2+2x+13`

-
`5x^4+5x^3+8x^2+x+6`

_____________________

`0x^4 - 0x^3 -0x^2 +x +7` or
`x+7`