(C) To find the point where the graph of the polynomial $p(x) = ax - b$ intersects the $X$-axis,we set $p(x) = 0$.Setting $ax - b = 0$ gives $ax = b$.

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(C) To find the point where the graph of the polynomial $p(x) = ax - b$ intersects the $X$-axis,we set $p(x) = 0$.Setting $ax - b = 0$ gives $ax = b$.Solving for $x$,we get $x = \frac{b}{a}$.Since the point lies on the $X$-axis,its y-coordinate is $0$.Therefore,the graph intersects the $X$-axis at the point $(\frac{b}{a}, 0)$.

Class 10 Mathematics Polynomials Geometrical Meaning of the Zeroes of a Polynomial

Medium

The graph of the polynomial $p(x) = ax - b$,where $a \neq 0$ and $a, b \in R$,intersects the $X$-axis at which unique point?

A
$(-\frac{b}{a}, 0)$
B
$(0, \frac{b}{a})$
C
$(\frac{b}{a}, 0)$
D
$(\frac{a}{b}, 0)$

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Polynomials

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Geometrical Meaning of the Zeroes of a Polynomial

The number of real zeros of $y = p(x)$ is $\ldots \ldots \ldots$ in the given figure.

Easy

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As per the given figure,the graph of $y=p(x)$ has $\ldots \ldots$ real zeros.

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Look at the graph given below. It is the graph of $y = p(x)$ where $p(x)$ is a polynomial. Find the number of zeroes of $p(x)$.

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Find the zeros of $p(x)=x^{3}-4 x$ and show them graphically.

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Look at the graph given below. It is the graph of $y=p(x)$ where $p(x)$ is a polynomial. Find the number of zeroes of $p(x)$.

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The graph of the polynomial $p(x) = ax - b$,where $a \neq 0$ and $a, b \in R$,intersects the $X$-axis at which unique point?

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