Question

factorize the following a) y² +12y+32​

Answer 1

Answer:

Find 2 numbers p and q knowing sum (-12) and product (32).

p and q have same sign, since a and c same sign.

Factor pairs of 32 --> (2, 16)(4, 8). This sum is 12 = - b.

Then, p = -4 and q = -8 (their sum must be -12, and not 12)

f(y) = (y - 4)(y - 8)

Answer 2

Answer:

(y+4)(y+8)

Step-by-step explanation:

The two roots will multiply to 32 and add to 12. Thus we start finding possible roots.

32: 1 and 32, 2 and 16, 4 and 8...

Immediately we see 4 and 8 have a sum of 12 and a product of 32. Therefore, they are roots to the equation.

Factorize (y+4)(y+8)