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)

Solution:

Given, the expression is x² + 6x - 27.

We have to find the four-term polynomial and factored form of the given expression.

On factorising x² + 6x - 27,

By splitting the middle term,

x² + 6x - 27 = x² + 9x - 3x - 27

Therefore, the four-term polynomial is x² + 9x - 3x - 27

Now, x² + 9x - 3x - 27 = x(x + 9) - 3(x + 9)

Taking out common term,

= (x + 9) (x - 3)

Therefore, the factored form of the equation is (x - 3)(x + 9)

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

Summary:

x² + 9x - 3x - 27 = (x + 9) (x - 3) shows the four-term polynomial and factored form of x² + 6x - 27.