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Polynomials, SMB-004

Let  `p(x)=x^{3}-2 a x^{2}+x-1`. When `p(x)` is divided by `(x+2)`, the remainder is 5.

Find the value of `a`.  (2 marks)

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`-2`

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`text{Since}\ \ p(x) -: (x+2)\ \ text{has a remainder of 5:}`

`P(-2)` `=5`  
`5` `=(-2)^3-2a(-2)^2-2-1`  
`5` `=-8-8a-2-1`  
`8a` `=-16`  
`:.a` `=-2`  

Filed Under: Polynomials Tagged With: num-title-ct-patha, smc-4242-20-Remainder Theorem

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