Question

PLS HELP ME

Derive an equation whose coefficients are integers and which has roots of 1/2 and -7.
PLS GIVE A STEP BY STEP EXPLANATION

Answer 1

f(x) = 2x² +13x -7

Explanation:

Given a root r, a factor of the expression with that root is (x -r). For your roots, the factors of a suitable polynomial are ...

(x -1/2)(x +7)

Since you don't want any fractions, you can multiply this by 2:

(2x -1)(x +7)

And you can eliminate parentheses and write it as a function.

f(x) = (2x)(x +7) -1(x +7) = 2x² +14x -x -7

f(x) = 2x² +13x -7