Question

Which shows the four-term polynomial and factored form of x2 + 6x – 27?

x2 + 3x – 9x – 27 = (x + 3)(x – 9)
x2 + 6x – 3x– 27 = (x + 6)(x – 3)
x2 + 9x – 3x – 27 = (x + 9)(x – 3)
x2 + 3x – 6x – 27 = (x + 3)(x – 6)

Answer 1

will be right

x^2 +9x -3x -27 =(x+9)(x-3)

hope this will help you

Answer 2

Option (c) is correct.

The four-term polynomial and factored form of given quadratic equation
`x^2+6x-27` is
`x^2+9x-3x-27` and
`(x-3)(x+9)`.

Explanation:

Given equation
`x^2+6x-27`

We have to write the four-term polynomial and factored form and choose the correct form.

Consider the given quadratic equation
`x^2+6x-27`

We will solve the given quadratic equation using middle term splitting method,

6x can be written as 9x - 3x

Thus, the quadratic equation is written as ,

`x^2+9x-3x-27`

Taking x common first two terms and -3 common from last two terms, we have,

`x(x+9)-3(x+9)`

Taking (x +9 ) common , we have,

`(x-3)(x+9)`

Thus, the four-term polynomial and factored form of given quadratic equation
`x^2+6x-27` is
`x^2+9x-3x-27` and
`(x-3)(x+9)`.

Thus, Option (c) is correct.