if p=-2
solve the sum
-2p^3-3p^2+4p+7
Answers
Step by Step Solution
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Reformatting the input :
Changes made to your input should not affect the solution:
(1): "p2" was replaced by "p^2".
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*p^2-4*p-(7)=0
Step by step solution :
STEP
1
:
Equation at the end of step 1
(3p2 - 4p) - 7 = 0
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 3p2-4p-7
The first term is, 3p2 its coefficient is 3 .
The middle term is, -4p its coefficient is -4 .
The last term, "the constant", is -7
Step-1 : Multiply the coefficient of the first term by the constant 3 • -7 = -21
Step-2 : Find two factors of -21 whose sum equals the coefficient of the middle term, which is -4 .
-21 + 1 = -20
-7 + 3 = -4 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and 3
3p2 - 7p + 3p - 7
Step-4 : Add up the first 2 terms, pulling out like factors :
p • (3p-7)
Add up the last 2 terms, pulling out common factors :
1 • (3p-7)
Step-5 : Add up the four terms of step 4 :
(p+1) • (3p-7)
Which is the desired factorization
-2 (-2)³-3(-2)²+4(-2) + 7
16-12-8+7
4 - 1
3