To learn how to factor quadratics, trysome online lessons.

Take the common factor of 2 out front:

2(b^2 + 5b + 6)

Then find factors of 6 that add up to 5. Use these numbers to factor the b^2 + 5b + 6.

There's no common factor here, and you're stuck with the 4 in front. So look at the factors of (4)(-3) = -12 that add to +4. You're multiplying to a negative, so the numbers must have opposite signs. You're adding to a positive, so the larger factor will get the "plus" sign.

4x^2 - 2x + 6x - 3

Thenfactor in pairs.

There is no common factor, so you're stuck with the 8 in front. So look for factors of (8)(-10) = -80 that add up to -5. You're multiplying to a negative, so the factors have opposite signs. You're adding to a negative, so the larger factor will get the "minus" sign.

Factor pairs:

1 and 80

2 and 40

4 and 20

5 and 16

8 and 10

Does any factor-pair work? If so, then factor. If not, then the polynomial is "prime".

You don't have to factor here. Just plug the above intothe Quadratic Formulato find the solutions.

(Or, if the instructions specify that youmustfactor, find the factors of (3)(-16) = -48 that add to +2. Hint: Use +8 and -6.)

They've given you that s = 15 and v = 8, so plug these values into the equation they've given you.

They've asked you to find the time t when h = 0. So plug "0" in for "h", and solve the equation for the values of "t". Only one will make physical sense (since you can't have negative time.)