Question

One x-intercept for a parabola is at the point (0.5,0). Use the factor method to find the other x-intercept for the parabola defined by this equation: y=4×^2+8x-5

Answer 1

Answer: (-5/2,0) is the other x intercept.

Step-by-step explanation:

Make use of given fact that (x - 1/2) is a factor of the polynomial.

Divide 4x^2 + 8x - 5 by (x - 1/2)

Partial quotient 4x.

Subtract 4x × (x - 1/2) = 4x^2 - 2x from dividend giving 10x - 5 remainder.

Second partial quotient is 10,

10 × (x - 1/2) = 10x - 5, remainder zero

(x - 1/2)(4x + 10) = 4x^2 + 8x - 5

Graph of the parabola crosses the x axis where 4x+10=0, x = -5/2.