solve (6p^2- 7p+5) x p
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Step-by-step explanation:
The first term is, 6p2 its coefficient is 6 .
The middle term is, -7p its coefficient is -7 .
The last term, "the constant", is -5
Step-1 : Multiply the coefficient of the first term by the constant 6 • -5 = -30
Step-2 : Find two factors of -30 whose sum equals the coefficient of the middle term, which is -7 .
-30 + 1 = -29
-15 + 2 = -13
-10 + 3 = -7 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -10 and 3
6p2 - 10p + 3p - 5
Step-4 : Add up the first 2 terms, pulling out like factors :
2p • (3p-5)
Add up the last 2 terms, pulling out common factors :
1 • (3p-5)
Step-5 : Add up the four terms of step 4 :
(2p+1) • (3p-5)