X method is the method to find the factors of the polynomial equation.The factor of the given polynomial is,
[tex]x^2+16x-3x-48=(x+16)(x-3)[/tex]
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,
[tex]ax^2+bx+c[/tex]
Given information-
The equation given in the problem is,
[tex]x^2+13x-48[/tex]
Compare the above equation with the standard form. We get,
[tex]a=1\\b=13\\c=-48[/tex]
To find out the factor of above equation using X method, follow the steps.
- Step 1) Multiply [tex]a[/tex] and [tex]c[/tex] and place [tex]ac[/tex] at the top of X as shown in the image.
[tex]ac=1\times(-48)\\ac=-48[/tex]
- Step 2) Place [tex]b[/tex] at the bottom as shown in the image below.
[tex]b=13[/tex]
- Step 3) Find two numbers that multiply the top number [tex]ac[/tex] and to the bottom number [tex]b[/tex].
- Step 4) Write the polynomial from the X box as,
[tex]x^2+16x-3x-48=x(x+16)-3(x+16)[/tex]
[tex]x^2+16x-3x-48=(x+16)(x-3)[/tex]
Hence the factor of the given polynomial is,
[tex]x^2+16x-3x-48=(x+16)(x-3)[/tex]
Thus the option 3 is the correct option,
Learn more about the X method here;
https://brainly.com/question/24379507
