Question

(x−4)(x−6) polynomial in standard form.

a) x²−10x+24
b) x²−2x−24
c) x²−2x+24
d) x²−10x−24

Answer 1

The standard form of the given polynomial (x−4)(x−6) is x²−10x+24, option (a).

Step-by-step explanation:

To find the standard form of the given polynomial (x−4)(x−6), we need to expand the brackets:

1. Multiply x by x to get x².
2. Multiply x by −6 to get −6x.
3. Multiply −4 by x to get −4x.
4. Multiply −4 by −6 to get +24.

Combine the like terms (−6x and −4x) to get −10x. So the polynomial in standard form is:

x²−10x+24

Comparing this with the given options, the correct standard form is (a) x²−10x+24.