Question

Select the values for p, q, and r that will make the following equation true.

px2 + qx + r = (3x + 1)(x - 5)
A. p = 3
B. p = 4
C. q = -16
D. 9 = -14
E. r = -5
F. r = -4

Answer 1

P= 3

Q= -14

R= -5

Explanation:

Just solve the equation on the right side, you'll get:

=3x^2 -15x +x -5

=3x^2 -14x -5

Now compare it to the equation on the left side,

The coefficient of x^2 on the left is "p", on the right that we just solved is 3.

Same for "q" which is the coefficient on the left, on the right it's -14.

And for "r" it's -5 from the equation on the right.