Question

divide 15p square + 31pq + 14q square by 5p+ 7q

Answer 1

Answer:

The first term is, 15p2 its coefficient is 15 .

The middle term is, +2p its coefficient is 2 .

The last term, "the constant", is -1

Step-1 : Multiply the coefficient of the first term by the constant 15 • -1 = -15

Step-2 : Find two factors of -15 whose sum equals the coefficient of the middle term, which is 2 .

-15 + 1 = -14

-5 + 3 = -2

-3 + 5 = 2 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 5

15p2 - 3p + 5p - 1

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

3p • (5p-1)

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

1 • (5p-1)

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

(3p+1) • (5p-1)

Which is the desired factorization

Answer 2

Answer:

नचोऐऋऑनचटटपपजदफषृओधऑपःपटटडबसष