Question

Factor the polynomial completely using the X method. X2 13x – 48 An x-method chart shows the product a c at the top of x and b at the bottom of x. Above the chart is the expression a x squared 13 x minus 48. What is the four-term polynomial and factored form of the polynomial? x2 7x 6x – 48 = (x 7)(x 6) x2 – 12x 4x – 48 = (x – 12)(x 4) x2 16x – 3x – 48 = (x 16)(x – 3) x2 – 16x 3x – 48 = (x – 16)(x 3).

Answer 1

X method is the method to find the factors of the polynomial equation.The factor of the given polynomial is,

$x^2+16x-3x-48=(x+16)(x-3)$

Thus the option 3 is the correct option,

How to find factor of polynomial using X method?

X method is the method to find the factors of the polynomial equation.

The standard form of the quadratic equitation is given as,

$ax^2+bx+c$

Given information-

The equation given in the problem is,

$x^2+13x-48$

Compare the above equation with the standard form. We get,

$a=1\\b=13\\c=-48$

To find out the factor of above equation using X method, follow the steps.

• Step 1) Multiply $a$ and $c$ and place $ac$ at the top of X as shown in the image.

        $ac=1\times(-48)\\ac=-48$

• Step 2) Place $b$ at the bottom as shown in the image below.

       $b=13$

• Step 3) Find two numbers that multiply the top number $ac$ and to the bottom number $b$.

• Step 4) Write the polynomial from the X box as,

         $x^2+16x-3x-48=x(x+16)-3(x+16)$

         $x^2+16x-3x-48=(x+16)(x-3)$

Hence the factor of the given polynomial is,

$x^2+16x-3x-48=(x+16)(x-3)$

Thus the option 3 is the correct option,

Learn more about the X method here;

brainly.com/question/24379507

Answer 2

Answer:

d

Step-by-step explanation: