Is this equation is quadratic equation : x3 - 2x2 + 4 = 0
Answers
Hi .
here's your answer.
Step by step solution :
STEP
1
:
Equation at the end of step 1
((x3) - 2x2) - 4x = 0
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
x3 - 2x2 - 4x = x • (x2 - 2x - 4)
Trying to factor by splitting the middle term
3.2 Factoring x2 - 2x - 4
The first term is, x2 its coefficient is 1 .
The middle term is, -2x its coefficient is -2 .
The last term, "the constant", is -4
Step-1 : Multiply the coefficient of the first term by the constant 1 • -4 = -4
Step-2 : Find two factors of -4 whose sum equals the coefficient of the middle term, which is -2 .
-4 + 1 = -3
-2 + 2 = 0
-1 + 4 = 3
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored.
Hope it helped you.
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