Slip and slide trinomials (x^2+bx+c)

Question

What trinomial do you get when you multiply a times c? Answer in the form: x^2+bx+c

The trinomials I am trying to figure out are:

3x^2-11x+10

8y^2-10y+3

9m^2+3m-2

10p^2-p-2

Thank you!!

Answer 1

Your question is a bit confusing but here goes nothing:

Trinomials can be put in the form of:

where "a" is the coefficient in front of the x², "b" is the coefficient in front of the x, and "c" is the number by itself at the end (the constant term).

So for 3x² - 11x + 10, a = 3, b = -11, and c = 10. That means a•c = (3)(10) = 30

For 8y² - 10y + 3, a = 8, b = -10, and c = 30. That means a•c = (8)(3) = 24

For 9m² + 3m - 2, a = 9, b = 3, and c = -2. That means a•c = (9)(-2) = -18

For 10p² - p - 2, a = 10, b = -1, and c = -2. That means a•c = (10)(-2) = -20