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For what value of a is the polynomial (2x³+ax²+11x+a+3) exactly divisible by (2x-1)? |
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Answer» LET 2x-1==o X=1\2 p(x)=2x^3+ax^2+11x+a+3 p(1\2)=2×(1\2)^3+a(1\2)^2+11\2+a+3 =1\4+a1\2+11\2+a+3=0 Taking LCM =(1+2a+22+4a+12)\4=0 =36+6a=0÷4 =a=-36\6 =a=-6 this is your ANSWER |
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