Find the value of a if (x-2), (2x-5) and (x-1) are the factors of the polynomial, 2x³-11x²+ax-10.
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Answer:
Given: P(x)=x
2
−2 x+5
For x=−1, P(−1)=(−1)
2
−2(−1)+5=1+2+5=8
For x=5, P(5)=(5)
2
−2(5)+5=25−10+5=20
Hence P(−1)=8 and P(5)=20
Step-by-step explanation:
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