Question

3. Malcolm's bandmate starts by making a factor table for w² - 3w - 350 = 0.

He is looking for the factors (w + p)(w+q) = 0, where p q = -350 and p + q = -3.

Answer 1

To find the factors (w + p)(w + q) = 0 where p*q = -350 and p + q = -3, we can use the factorization method.

Let's factorize -350 into its prime factors:

-350 = -1 * 2 * 5 * 5 * 7

Now, since p*q = -350 and p + q = -3, we need to find two numbers that multiply to -350 and add up to -3.

One possible combination is:

p = 5 * 7 = 35
q = -10

So, the factors (w + p)(w + q) = 0 for the equation w² - 3w - 350 = 0 are:
(w + 35)(w - 10) = 0