Question

If b and c are both positive, then

p and
q are both positive. −6x+9=(x____3)(x____3)

a. + and +
b. − and −
c. − and +
d. + and -

Answer 1

If b and c are both positive, then p and q are both positive.

Step-by-step explanation:

In this equation, -6x + 9 = (x + ___)(x + ___), we need to determine the signs of the two blanks, which will give us the signs of p and q.

Given that b and c are both positive, let's analyze the expression (-6x + 9) to figure out the signs of p and q. We can rewrite the equation as (x - 3)(x - 3).

Notice that the two factors are the same, meaning they are both equal to (x - 3). So, in this case, p and q are both positive, which means the correct option is a. + and +.