Find the equation whose roots 5 points
are the roots of x^5 4x^4+3x^2-4x+6=0 each diminished by 3.
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Answer:
Step by step solution :
STEP
1
:
Equation at the end of step 1
(((((x5)-(4•(x4)))+(3•(x3)))-2x2)-4x)+6 = 0
STEP
2
:
Equation at the end of step
2
:
(((((x5)-(4•(x4)))+3x3)-2x2)-4x)+6 = 0
STEP
3
:
Equation at the end of step
3
:
(((((x5)-22x4)+3x3)-2x2)-4x)+6 = 0
STEP
4
:
Trying to factor by pulling out
4.1 Factoring: x5-4x4+3x3-2x2-4x+6
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -2x2+3x3
Group 2: x5-4x4
Group 3: -4x+6
Pull out from each group separately :
Group 1: (3x-2) • (x2)
Group 2: (x-4) • (x4)
Group 3: (2x-3) • (-2)
Looking for common sub-expressions :
Group 1: (3x-2) • (x2)
Group 3: (2x-3) • (-2)
Group 2: (x-4) • (x4)
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