Question

Which statement is true about the quadratic equation 8x² − 5x + 3 = 0?

a. The constant term is −5.
b. The leading coefficient is 8.
c. The leading coefficient is −5.
d. The constant term is 8.

Answer 1

The true statement about the quadratic equation 8x² − 5x + 3 = 0 is that the leading coefficient is 8. The constant term is 3, not −5 or 8 as suggested in the other options.

Step-by-step explanation:

The quadratic equation given in the question is 8x² − 5x + 3 = 0. To understand which statement is true about this equation, we need to recognize the standard form of a quadratic equation, which is ax² + bx + c = 0. In this form, the leading coefficient is the coefficient before the x² term, and the constant term is the term without any variables (the c value). By comparing the standard form to the given equation, we can clearly see that the leading coefficient is 8, and the constant term is 3.