Question

what is the common factors of 4p, -16pq^2, 20p^2 q​

Answer 1

Answer:

The first term is, 4p2 its coefficient is 4 .

The middle term is, -20p its coefficient is -20 .

The last term, "the constant", is +25

Step-1 : Multiply the coefficient of the first term by the constant 4 • 25 = 100

Step-2 : Find two factors of 100 whose sum equals the coefficient of the middle term, which is -20 .

-100 + -1 = -101

-50 + -2 = -52

-25 + -4 = -29

-20 + -5 = -25

-10 + -10 = -20 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -10 and -10

4p2 - 10p - 10p - 25

Step-4 : Add up the first 2 terms, pulling out like factors :

2p • (2p-5)

Add up the last 2 terms, pulling out common factors :

5 • (2p-5)

Step-5 : Add up the four terms of step 4 :

(2p-5) • (2p-5)

W