Mathematics: Use the drop-down menus to complete the statements about the function p(x) = x(x – 1) + 1. the value of a is . the value of b is . the value of c is . the value of the discriminant is . the quadratic function will intersect the x-axis times.

Use the drop-down menus to complete the statements

Ответ:

Shubbs

09.01.2022

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,

p(x)=ax^2+bx+c

The given function is,

p(x)=x(x-1)+1

It can be written as,

p(x)=x^2-x+1

By comparing this equation with the standard form of quadratic equation. we get,

a=1

b=-1

c=1

The formula for discriminant is,

D=b^2-4ac

D=(-1)^2-4(1)(1)

D=1-4

D=-3

The value of the discriminant is -3.

If D<0, it means the function have no real roots.

If D=0, it means function have one real roots.

If D>0, it means function have two real roots.

Since D<0 it means the function have no real roots. So the function will not intersect the x-axis at any point.

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Use the drop-down menus to complete the statements about the function p(x) = x(x – 1) + 1. the value of a is . the value of b is . the value of c is . the value of the discriminant is . the quadratic function will intersect the x-axis times.

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