# If 1 is a zero of the polynomial p(x)

If 1 is a zero of the polynomial
$p\left(x\right)=a{x}^{2}-3\left(a-1\right)x-1$, then
Find the value of a
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Step 1 Given
$Sp\left(x\right)=a{x}^{2}-3\left(a-1\right)x-1$
Step 2 Finding the value of a
Let
x be the zero
Then,
x=1
$p\left(1\right)=a{\left(1\right)}^{2}-3\left(a-1\right)1-1$
=0
a-3a+3-1=0
-2a+2=0
-2a=-2
2a=2
$a=\frac{2}{2}$
a=1
$\therefore a=1$

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