Paul says that x over y can result in either a positive or negative quotient. Is Paul correct? Explain why or why not

Paul is correct.

Step-by-step explanation:

Paul is correct.

Let's say N is negative and P is positive.

Let x be the numerator and y be the denominator.

If P/P, then the quotient is positive

If N/N, then the quotient is positive

If N/P, then the quotient is negative

If P/N, then the quotient is positive.

Therefore, x over y can result in either a positive or negative quotient.

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct