Question

Given the function, y=3x^2+5x+1 determine the discriminant

A.-2
B.-11
C. 27
D. 13

Answer 1

`13`

Explanation:

`y=3 {x}^(2) +5x+1`

The discriminant of a quadratic is the expression inside the radical of the quadratic formula.

`{b}^(2) - 4(ac)`

Substitute in the values of a, b, and c.

`{5}^(2) - 4(3 * 1)`

Evaluate the result to find the discriminant.

Simplify each term.

Raise 5 to the power of 2.

`25 - 4(3 * 1)`

Multiply 3 by 1.

`25 - 4 * 3`

Multiply −4 by 3.

25−12

Subtract 12 from 25.

13

Hope it is helpful...