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

Answer:

The option C shows the correct factored form (x-3)(x+9)

Answer 2

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

Step-by-step explanation:

To find : Which shows the four-term polynomial and factored form of $x^2 + 6x -27$ ?

Solution :

We have to factories the polynomial,

$x^2 + 6x -27$

Applying middle term split, as 6x=9x-3x

$x^2 + 6x -27=x^2 +9x-3x -27$

$x^2 + 6x -27=x(x+9)-3(x+9)$

Taking (x+9) common,

$x^2 + 6x -27=(x+9)(x-3)$

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

Thus, Option 3 is correct.

#Learn more

Factorise : a-8ab^3 factories this sum

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