2x³-6x²+ 5x+4 by g(x)=x-2
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Answer:
a = -2
Let p(x)=2x
3
−6x
2
+5x+a and
g(x)=x−2
=>x−2=0
=>x=2
If g(x) is a factor of p(x), then p(2) should be equal to zero.
p(2)=2x
3
−6x
2
+5x+a=0
=>2(2)
3
−6(2)
2
+5(2)+a=0
=>16−24+10+a=0
=>2+a=0
=>a=−2
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