Question

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

The value of a is–1012 .

The value of b is–1012 .

The value of c is–1012 .

The value of the discriminant is–3–11 5 .

The quadratic function will intersect the x-axis 012 times.

Answer 1

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.

Step-by-step explanation:

The standard form of a quadratic equation is,

`ax^(2) +bx +c`

It can be written as,

`x^(2) -x+1`

Answer 2

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.