If girlfriend would like to discover the factored type of the polynomial x^2 - 16 * x + 48, you can do this using the complying with steps:x^2 - 16 * x + 48 = (x - 4) * (x - 12)The correct an outcome would be (x - 4) * (x - 12).

You are watching: What is the factored form of the polynomial? x2 – 16x + 48

(x -4)(x -12)

Step-by-step explanation:

You can check by multiplying out the readily available factors, or you have the right to take benefit of your knowledge of the forced relationships.

The coefficient the x is negative, so at least one the the binomial constants have to be negative. The coefficient that the constant (48) is positive, so both binomial constants must have actually the same sign (negative). This eliminates the last two answer choices.

The amount of the binomial constants have to be -16, remove the second answer selection and informing you the the very first choice is the exactly one:

x² -16x +48 = (x -4)(x -12)

C

Step-by-step explanation:

Step-by-step explanation:

The prize is A. (x - 4)(x - 12).

we have equate the polynomial come zero and also find the roots Group terms that contain the same variable, and also move the continuous to the opposite next of the equation Complete the square. Remember come balance the equation by adding the very same constants to every side  Rewrite as perfect squares square root both sides    so therefore

the prize is the option we have equate the polynomial to zero and also find the roots Group terms the contain the same variable, and also move the consistent to the opposite next of the equation Complete the square. Remember come balance the equation by including the same constants to every side  Rewrite as perfect squares square source both sides    so therefore (x − 4)(x − 12)

Proof:

(x − 4)(x − 12)

= x^2 - 4x -12x + 48

=x^2 -16x +48

The an initial one (x-4)(x-12)
Your answer is A. (x - 4)(x - 12)x*x = x^2-4(x) + -12(x)-4x - 12x = -16x-4(-12) = 48Which makes up x^2 - 16x +48Good fortune! :)

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