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Verify whether the following are zeroes ...

Verify whether the following are zeroes of the polynomial, indicated against them.(i) `p(x)=3x+1, x=-1/3` (ii) `p(x)=5x-pi, x=4/5` (iii) `p(x)=x^2-1, x=1,-1`(iv) `p(x)=(x+1)(x+2), x=-1,2` (v) `p(x)=x^2, x=0` (vi) `p(x)=l x+m, x=-m/l`

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To verify whether the given values are zeroes of the specified polynomials, we will substitute each value into the polynomial and check if the result is zero. ### Solution Steps: 1. **Part (i)**: Verify if \( x = -\frac{1}{3} \) is a zero of \( p(x) = 3x + 1 \). - Substitute \( x = -\frac{1}{3} \): \[ p\left(-\frac{1}{3}\right) = 3\left(-\frac{1}{3}\right) + 1 = -1 + 1 = 0 ...
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