(p^2 -2p+5)(p^2-6p+10)=100 find p
Answers
Answer: hope it will work
Step-by-step explanation: 1.1 Factoring p2-6p-91
The first term is, p2 its coefficient is 1 .
The middle term is, -6p its coefficient is -6 .
The last term, "the constant", is -91
Step-1 : Multiply the coefficient of the first term by the constant 1 • -91 = -91
Step-2 : Find two factors of -91 whose sum equals the coefficient of the middle term, which is -6 .
-91 + 1 = -90
-13 + 7 = -6 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -13 and 7
p2 - 13p + 7p - 91
Step-4 : Add up the first 2 terms, pulling out like factors :
p • (p-13)
Add up the last 2 terms, pulling out common factors :
7 • (p-13)
Step-5 : Add up the four terms of step 4 :
(p+7) • (p-13)
Which is the desired factorization