Question

Which shows the factored form of x2 – 12x – 45? (x 3)(x – 15) (x – 3)(x – 15) (x 3)(x 15) (x – 3)(x 15).

Answer 1

The factors of the quadratic equation are (x+3) and (x-15).

Given to us

• $x^2-12x-45$

To find

The factors of $x^2-12x-45$.

Solution

$x^2-12x-45$

As we can see in the quadratic equation the value of ac is -45x². therefore, we need to divide -12x into two parts such that their sum must give -12x and their product gives us -45x².

therefore, dividing -12x into -15x and 3x,

$x^2-15x+3x-45$

Taking common out,

$x^2-15x+3x-45\\x(x-15)+3(x-15)\\(x+3)(x-15)$

Hence, the factors of the quadratic equation are (x+3) and (x-15).

Learn more about quadratic equations:

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