Question

: What is the number of distinct possible rational roots of the polynomial P(x)=5x2+19x−4?

6, 12, 5, or 10

The way the wording is confusing would appreciate the help

Answer 1

P(x)=5x^2+19x−4
is a quadratic. Any quadratic function can have either 0,1, or 2 zeros,
so your choices of answers don't make sense

5x^2 + 19x - 4 = 0
(5x + 1)(x - 4) = 0
x = -1/5 or x = 4

So there are 2 distinct rational roots of the corresponding equations.

I agree that the wording is poor. Equations have roots, functions have zeros.

Answer 2

121