Question

Without actual division, prove that 2x^4-5x^3 + 2x²-x+2 is divided by x²-3x + 2​

Answer 1

Answer:

∵P(x)=2x4−5x3+2x2−x+2andx2−3x+2=(x−1)(x−2)letx2−3x+2isthefactorofP(x)then,x2−3x+2=0⇒(x−1)(x−2)=0⇒x=1and2forx=1P(1)=0andforx=2P(2)=0∵P(1)=P(2)=0∴P(x)isdivisiblebyx2−3x+2

Step-by-step explanation:

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