Question

Please help me with this anyone

Answer 1

Answer:

Step-by-step explanation:

Begin by combining like terms and then factoring. Combining like terms will give you

$10p^2-17p-20=0$ Using the "old-fashioned" way of factoring, the a times c method, our a = 10, b = -17 and c = -20.

a * c = 10(-20) = -200 and now we need the factors of 200 (don't worry about the negative) that combine to give us that middle term, -17p (here is where the negative matters). The factors of 200 are:

1. 200;  2, 100;  4. 50;  5, 40;  8, 25;  10, 20

The combination of those numbers that can be manipulated to give us a -17p is the 8, 25 as long as we say that the 25 is negative and the 8 is positive. Rewrite the original polynomial to reflect those factors:

$10p^2-25p+8p-20=0$ and then factor by grouping:

$(10p^2-25p)+(8p-20)=0$ and factor out from each set of parenthesis what is common:

$5p(2p-5)+4(2p-5)=0$ again factor out what is common:

(2p - 5)(5p+ 4) = 0. These are the factors; therefore the solutions are

2p - 5 = 0 so

2p = 5 and

p = 5/2  and

5p + 4 = 0 and

5p = -4 so

p = -4/5