Question

when x³+ax²+4x-5 is divided by x+1 the remainder is 14 Find a
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Answer 1

Answer:

Step-by-step explanation:

p(x)=x  

3

+ax  

2

+4x−5

g(x)=x+1    

=>x+1=0    

=>x=−1

Thus,  

p(−1)=(−1)  

3

+a(−1)  

2

+4(−1)−5                      

     =−1+a−4−5                      

     =a−10

Therefore,

p(−1)=a−10

But,

p(−1)=14

Therefore,

a−10=14

    a=14+10

    a=24