Question

How do you simplify this and write as a polynomial in standar form? (x-9)3x-7)+(3x^2-5x+2)​

Answer 1

Standard form of
`(x-9)(3x-7) + (3x^(2) - 5x+2)`
`=6x^(2)  - 39x + 65`

Explanation:

Here, the given expression is
`(x-9)(3x-7) + (3x^(2) - 5x+2)`

Now, simplifying the above expression in parts, we get

`(x-9)(3x-7) = 3x^(2)  - 7x -27x + 63 = 3x^(2)  - 34x + 63`

hence, combining both parts:

`(x-9)(3x-7) + (3x^(2) - 5x+2)`
`=(3x^(2)   -34x +63) + (3x^(2) - 5x+2)`

=
`6x^(2)  - 39x + 65`

The above expression is of the STANDARD FORM:
`ax^(2)  +bx + c`

Hence, the standard form of
`(x-9)(3x-7) + (3x^(2) - 5x+2)`
`=6x^(2)  - 39x + 65`