Question

F(x)=4x^2+4x-15 Write the function D in intercept form. Use this form to list the zeros of the function.

Answer 1

Zeros are x = 1.5, -2.5

Explanation:

Given function is,

F(x) = 4x² + 4x - 15

= 4(x² + x - 3.75) [Since, intercept form of a quadratic equation is the factored form of the function]

F(x) = 4(x² + 2.5x - 1.5x - 3.75)

= 4[x(x + 2.5) - 1.5(x + 2.5)]

= 4(x - 1.5)(x + 2.5)

For 'x' intercepts,

f(x) = 0

4(x - 1.5)(x + 2.5) = 0

x = 1.5, -2.5

Therefore, zeros of the given function are x = 1.5, -2.5.