Question

A quadratic has the solutions x=4 and x= -3

Write The quadratic equation as the product of two binomials (write in bracket form.)

Answer 1

y = (x - 4)(x + 3)

Explanation:

given a quadratic function with solutions x = a and x = b then the factors are (x - a) and (x - b)

the function is then the product of the factors

here solutions are x = 4 and x = - 3 , then factors are

(x - 4) and (x - (- 3) ) , that is (x - 4) and (x + 3)

the quadratic function is then

y = (x - 4)(x + 3) ← expand the factors using FOIL

y = x² + 3x - 4x - 12

y = x² - x - 12