Question

Given the function, y=3x^2+5x+1 determine the discriminant A.-2 B.-11 C. 27 D. 13

Answer 1

Answer:

$13$

Step-by-step 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.

${5}^{2} - 4(3 \times 1)$

Evaluate the result to find the discriminant.

Simplify each term.

Raise 5 to the power of 2.

$25 - 4(3 \times 1)$

Multiply 3 by 1.

$25 - 4 \times 3$

Multiply −4 by 3.

25−12

Subtract 12 from 25.

13

Hope it is helpful...