Factorise 2 x cube ➖3x square ➖17 x ➕30 by hit and trial method pls help
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Answer:
Factorise 2 x cube ➖3x square ➖17 x ➕30
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Step-by-step explanation:
f(-1)=2(-1)³-3(-1)²-17(-1)+30
f(-1)=-2-3+17+30
f(-1)=-5+47
f(-1)=42
f(-3)=2(-3)³-3(-3)²-17(-3)+30
f(-3)=-54-27+51+30
f(-3)=-81+81
f(-3)=0
x+3 is also the factor of the given polynomial
2x³-3x²-17x+30/x+3
by dividing it we will get the quotinent 2x²-9x+10
it is also the factor of the given polynomial
2x²-9x+10
2x²-5x-4x+10
x(2x-5)-2(2x-5)
(2x-5)(x-2)
therefore x=5/2 or x=2
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