Question

Use the drop-down menus to complete the statements about the function p(x) = x(x – 1) + 1.

Answer 1

Expanded, the function is ...

... p(x) = x² -x +1

Compared to

... ax² +bx +1

• The value of a is 1
• The vaule of b is -1
• The value of c is 1
• The value of the discriminant is b²-4ac = 1²-4·1·1 = -3
• The quadratic function will intersect the x-axis 0 times.

_____

The negative discriminant means there are no real roots, hence no x-intercepts.

Answer 2

Answer: The value of a is 1. The value of b is -1. The value of c is 1. The value of the discriminant is -3. The quadratic function will not intersects the  x-axis.

Explanation:

The standard form of a quadratic equation is,

$ax^{2} +bx +c$

It can be written as,

$x^{2} -x+1$