plz ans this fast...vry important
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p(x) = x5 – x4 – 4x3 + 3x2 + 3x + bq(x) = x3 + 2x2 + a Zeroes of q(x) are also the zeroes of p(x)Þ q(x) is a factor of p(x)To find the another factor of p(x), it should be divided by q(x).
x2 - 3x + 2 = (x – 2)(x – 1)Therefore, 2 and 1 are the other zeroes of p(x).Similarly, when p(x) is divided by x2 - 3x + 2, the quotient is x3 + 2x2 – 1 and theRemainder is (b + 2).x3 + 2x2 – 1 = x3 + 2x2 + a⇒ a = -1Remainder = 0⇒ (b + 2) = 0⇒ b = -2
Hence, the values of 'a' and 'b' are -1 and -2 respectively.
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NOTE :- After To find the another factor of p(x), it should be divided by q(x) this image will come. so take care
p(x) = x5 – x4 – 4x3 + 3x2 + 3x + bq(x) = x3 + 2x2 + a Zeroes of q(x) are also the zeroes of p(x)Þ q(x) is a factor of p(x)To find the another factor of p(x), it should be divided by q(x).
x2 - 3x + 2 = (x – 2)(x – 1)Therefore, 2 and 1 are the other zeroes of p(x).Similarly, when p(x) is divided by x2 - 3x + 2, the quotient is x3 + 2x2 – 1 and theRemainder is (b + 2).x3 + 2x2 – 1 = x3 + 2x2 + a⇒ a = -1Remainder = 0⇒ (b + 2) = 0⇒ b = -2
Hence, the values of 'a' and 'b' are -1 and -2 respectively.
____________________________________________________________
NOTE :- After To find the another factor of p(x), it should be divided by q(x) this image will come. so take care
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