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Find the reminder (without division) 8 x square + 5 x + 1 is divisible by x minus 10 |
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Answer» :Given:Divided by Required to find:Find the remainder without performing actual division. Solution:To solve this problem we should have some idea about what is MEANT by remainder theorem.Remainder theorem !This remainder theorem simply states that for any given polynomial expression that is p (x) when divided by (x-a) . we can find it's remainder without performing actual division only just MAKES some changes that is sending the a to the right side we get the value of x and by substitution it in the place of x in p (x).Example: p (x) when divided by (x-1) let x-1 = 0then x = 1Here this states that when we substitute this 1 in place of x we can get the remainder without long division. Now let's coming to the question! we were ASKED to find the remainder when (x-10) divided with 8x^2 + 5x + 1 .p (x) = 8x^2 + 5x + 1So, let x - 10 = 0 x = 10Now substitute this x Value in p (x)HENCE we get Therefore,The remainder is 851. |
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