6. The polynomial (x-a), where a>0, is a factor of the polynomial r(x) = 4 v2x2 -V2.
Which of these is a polynomial whose factor is (x-1/a)
a. x²+x+6
b. xl-5x+4 c. x?+4x-3 d. x²+x-6
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Answer:
If the polynomial is divided by (x - 3)(x - 5) then the remainder is : ... From polynomial- remainder theorem, P(3)=10 and P(5)=6 ... Solving for a and b, we get ... ⇒Remainder=− 2x+16.
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