The linear factors of a quadratic expression are (x – a) and (x – b), where a and b are constants, and a > b > 0. Which of the following is true about the zeros of the related quadratic function?

Question

The linear factors of a quadratic expression are (x – a) and (x – b), where a and b are constants, and a > b > 0. Which of the following is true about the zeros of the related quadratic function?

Answer 1

there are two zeros, a and b

a>0, b>0. both zeros are positive

take each factor and set it = 0, solve for x. x=a, x=b. Those are the zeros.

The zeros are where the graph of the quadratic intersects the x axis: two points (a,0) and (b,0), both to the right of the origin.

It's an upward opening parabola with axis of symmetry half way between a and b: x = (a+b)/2 and vertex = (a/2+b/2, y) where y<0 vertex is in quadrant 4, y intercept = ab or the point (0, ab)