k8contu4yassy
Answered

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)

Verified Answer :

jhonyy9

will be right 

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

hope this will help you

Answer:

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 \((x-3)(x+9)\).

Step-by-step 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.

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