Question

Perform the indicated operation to write given polynomial in standard form: (x^2+ 7x − 12)(x^2 − 9x +1)

Answer 1

The expression in standard form will be
`x^4=2x^3-50x^2+115x-12`

Explanation:

We have given polynomial
`(x^2+7x-12)(x^2-9x+1)`

We have to write the given polynomial in standard form

For writing in standard form we have to first multiply then write in order

So after multiplication

`(x^2+7x-12)(x^2-9x+1)=x^4-9x^3+x^2+7x^3-63x^2+7x-12x^2+108x-12=x^4=2x^3-50x^2+115x-12`

So the expression in standard form will be
`x^4=2x^3-50x^2+115x-12`