If the graph of a polynomial intersects x axis at 4 points and y axis at 1 point then the number of zeros are----?
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The number of zeros of the polynomial is 4.
A graph of a polynomial intersects x - axis at 4 points and y - axis at 1 point.
We have to find the number of zeros of the polynomial.
Concepts :
- A polynomial is an algebraic expression that consists of variables and coefficients. It involves only the operations of addition, subtraction, multiplication and non-negative integral exponents of variables.
- If we assume, y = P(x) is an polynomial expression, and plot the graph of it, graph cuts the x - axis that shows value of x. and it cuts the y - axis that shows the value of y.
- And you know very well, the values of x are known as zeros of polynomial.
- Hence, the number of intersection of graph of a polynomial on x - axis is the number of zeros of that polynomial.
Here the graph of a polynomial intersects x - axis at 4 points, so the number of zeros of the polynomial is 4.
Therefore the number of zeros of the polynomial is 4.
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