(A) linear polynomial is defined as $p(x) = ax + b$,where $a \neq 0$.To find the intersection with the $X$-axis,we set $p(x) = 0$.$ax + b = 0$$ax = -b

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(A) linear polynomial is defined as $p(x) = ax + b$,where $a \neq 0$.To find the intersection with the $X$-axis,we set $p(x) = 0$.$ax + b = 0$$ax = -b$$x = -b/a$Since $a \neq 0$,there is exactly one unique value of $x$ for which $p(x) = 0$.Therefore,the graph of a linear polynomial intersects the $X$-axis at exactly one point,which is $(-b/a, 0)$.

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

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The graph of a linear polynomial $p(x) = ax + b$ intersects the $X$-axis at $\ldots \ldots \ldots \ldots$ (where $a \neq 0$).

A
one point
B
two distinct points
C
does not intersect
D
three distinct points

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Geometrical Meaning of the Zeroes of a Polynomial

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

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The graph of $p(x) = x^{2} + 6x + 8$ is a ........

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The graph of a linear polynomial is a $\ldots \ldots \ldots . . . .$

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Are the following statements 'True' or 'False'? Justify your answers.
If the graph of a polynomial intersects the $x$-axis at exactly two points,it need not be a quadratic polynomial.

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Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial: $t^{2}-3$ and $2t^{4}+3t^{3}-2t^{2}-9t-12$.

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The graph of a linear polynomial $p(x) = ax + b$ intersects the $X$-axis at $\ldots \ldots \ldots \ldots$ (where $a \neq 0$).

Similar Questions

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

The graph of $p(x) = x^{2} + 6x + 8$ is a ........

The graph of a linear polynomial is a $\ldots \ldots \ldots . . . .$

Are the following statements 'True' or 'False'? Justify your answers.If the graph of a polynomial intersects the $x$-axis at exactly two points,it need not be a quadratic polynomial.

Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial: $t^{2}-3$ and $2t^{4}+3t^{3}-2t^{2}-9t-12$.

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Are the following statements 'True' or 'False'? Justify your answers.
If the graph of a polynomial intersects the $x$-axis at exactly two points,it need not be a quadratic polynomial.