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CBSE Class 9 Answered

What is the remainder when h(y) = 4y3 - 12y2 + 14y - 3 is divided by (2x - 1)
Asked by Topperlearning User | 18 Sep, 2017, 10:06: AM
answered-by-expert Expert Answer

begin mathsize 12px style When space straight h left parenthesis straight y right parenthesis space equals space 4 straight y cubed space minus space 12 straight y squared space plus space 14 straight y space minus 3 space is space divided space by space left parenthesis 2 straight x minus 1 right parenthesis space the space remainder space is
straight h open parentheses 1 half close parentheses space equals space 4 open parentheses 1 half close parentheses cubed space minus space 12 space cross times open parentheses 1 half close parentheses squared space plus space 14 cross times 1 half space minus space 3
straight h open parentheses 1 half close parentheses space equals space 4 over 8 space minus 12 over 4 plus 7 minus 3
straight h open parentheses 1 half close parentheses space equals 1 half minus 3 plus 7 minus 3
straight h open parentheses 1 half close parentheses space equals 3 over 2 end style

Answered by | 18 Sep, 2017, 12:06: PM
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