$p(x) = 2x^{3} + ax^{2} - 5x + b$. If $(x - 1)$ and $(x + 2)$ are factors, then $a + b$ equals

$p(x) = 2x^{3} + ax^{2} - 5x + b$. If $(x - 1)$ and $(x + 2)$ are factors, then $a + b$ equals
  1. $3$
  2. $1$
  3. $0$
  4. $-1$

Solution

$p(1)=2+a-5+b=0 \Rightarrow a+b=3$.

Asked in: MH-SSC-9

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