Verify x-1-5 is zero of the polynomial px-5x-1

To verify x= 1/5 is a zero or not:Let, p(x)=5x+10ex0exput, x= 1/5[ [ p( 1/5)=5( 1/5)+1; = 1+1; =0 ] ]Hence, x= 1/5 is zero of the p ...

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Standard IX

Mathematics

Zeroes of the Polynomial

Verify x=-1/5...

Question

Verify $x = \frac{- 1}{5}$ is zero of the polynomial $p (x) = 5 x + 1$

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Solution

To verify $x = \frac{- 1}{5}$ is a zero or not:
$Let, p (x) = 5 x + 1 put, x = \frac{- 1}{5}$
$\begin{array}{l} \begin{matrix} p (\frac{- 1}{5}) = 5 (\frac{- 1}{5}) + 1 \\ = - 1 + 1 \\ = 0 \end{matrix} \end{array}$
Hence, $x = \frac{- 1}{5}$ is zero of the polynomial $p (x)$ .

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(ii) -3 is a zero of the polynomial, q (x) = x + 3.
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Q. Verify whether the indicated number is zero of the polynomial given

g (x) = 5 x - 8, x = \frac{4}{5}

Q. Verify whether the following are zeros of the polynomial indicated against them:

p (x) = 5 x - 1; x = \frac{1}{5}

Q. Verify that

\frac{1}{2}

, 1, -2 are zeros of cubic polynomial

2 x^{3} + x^{2} - 5 x + 2

. Also verify the relationship between, the zeros and their coefficients.

Verify whether the following values indicated against them are zeroes of the polynomial.
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Verify x=-15 is zero of the polynomial p(x)=5x+1

To verify x=-15 is a zero or not:Let,p(x)=5x+1put,x=-15p-15=5-15+1=-1+1=0Hence, x=-15 is zero of the polynomial p(x).

Verify $x = \frac{- 1}{5}$ is zero of the polynomial $p (x) = 5 x + 1$

To verify $x = \frac{- 1}{5}$ is a zero or not:
$Let, p (x) = 5 x + 1 put, x = \frac{- 1}{5}$
$\begin{array}{l} \begin{matrix} p (\frac{- 1}{5}) = 5 (\frac{- 1}{5}) + 1 \\ = - 1 + 1 \\ = 0 \end{matrix} \end{array}$
Hence, $x = \frac{- 1}{5}$ is zero of the polynomial $p (x)$ .