Question

Write the quadratic equation whose roots are 1 and -3, and whose leading coefficient is 1.

(Use the letter x to represent the variable.).

Answer 1

Explanation:

Factor Theorem:

"If a is a root of a polynomial, (x - a) is a zero of the polynomial."

Therefore by Factor Theorem,

we have (x - 1)(x + 3) = x² + 2x - 3.