find the value of the 5x
Answers
Answer:
x • (5x2 - 2x + 1)
Step-by-step explanation:
Step 1 :
Equation at the end of step 1 :
(((5 • (x3)) - 2x2) + 3x) - 2x
Step 2 :
Equation at the end of step 2 :
((5x3 - 2x2) + 3x) - 2x
Step 3 :
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
5x3 - 2x2 + x = x • (5x2 - 2x + 1)
Trying to factor by splitting the middle term
4.2 Factoring 5x2 - 2x + 1
The first term is, 5x2 its coefficient is 5 .
The middle term is, -2x its coefficient is -2 .
The last term, "the constant", is +1
Step-1 : Multiply the coefficient of the first term by the constant 5 • 1 = 5
Step-2 : Find two factors of 5 whose sum equals the coefficient of the middle term, which is -2 .
-5 + -1 = -6
-1 + -5 = -6
1 + 5 = 6
5 + 1 = 6
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
x • (5x2 - 2x + 1)
Step-by-step explanation:
5x³-2x²+3x-2=0
=5x³-2x²+3x=2
=5x³=2-3x+2x²
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