m^4 +3m^2-8 coefficient form
Answers
Answer:
m=2
m=−2
m=0.0000−2.6458i
m=0.0000+2.6458i
Step-by-step explanation:
Step by step solution :
STEP
1
:
Equation at the end of step 1
((m4) + 3m2) - 28 = 0
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring m4+3m2-28
The first term is, m4 its coefficient is 1 .
The middle term is, +3m2 its coefficient is 3 .
The last term, "the constant", is -28
Step-1 : Multiply the coefficient of the first term by the constant 1 • -28 = -28
Step-2 : Find two factors of -28 whose sum equals the coefficient of the middle term, which is 3 .
-28 + 1 = -27
-14 + 2 = -12
-7 + 4 = -3
-4 + 7 = 3 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 7
m4 - 4m2 + 7m2 - 28
Step-4 : Add up the first 2 terms, pulling out like factors :
m2 • (m2-4)
Add up the last 2 terms, pulling out common factors :
7 • (m2-4)
Step-5 : Add up the four terms of step 4 :
(m2+7) • (m2-4)
Which is the desired factorization