I need help on the homework

Question

Rewrite the expression by factoring out (y+8)

3y²(y+8)-2(y+8)

Answer 1

3) So if we factor out (y+8) from the equation 3y²(y+8) - 2(y+8) all we're left with is 3y²-2

Therefore, 3y²(y+8) - 2(y+8) can be written as (y+8)(3y²-2).

It's similar to if we have 13(5) - 7(5). We can write that out as (13 - 7)(5)

10) If the roots are 5 and 6 then a possible quadratic equation is y = (x-5)(x-6), since when you plug in 5 or 6 in for x, you get zero for y.

Now we use FOIL to put the equation in standard form. We get:

y = x² - 11x + 30. The leading coefficient is 1 for this. To get a leading coefficient of 2, just multiply the right hand side by 2.

So y = 2x² - 22x + 30 is your answer. If we were to factor this, you'd see that the roots are still 5 and 6. Factoring yields y = 2(x-5)(x-6)