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)

Option (c) is correct.

The four-term polynomial  and factored form of given quadratic equation is and .

Step-by-step explanation:

Given equation

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

Consider the given quadratic equation

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 ,

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

Taking (x +9 ) common , we have,

Thus, the  four-term polynomial  and factored form of given quadratic equation is and .

Thus, Option (c) is correct.

mental cunning

explanation:

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