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Can Quad. func. cross x-axis in three pl.

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Can Quad. func. cross x-axis in three pl.

Question asks: Can the graph of a quadratic function cross the x-axis in three different places? Explain your answer.
(try to make it simple enough for me to understand if possible thanx :))
Thanx for the help...
1 REPLY 1

Can Quad. func. cross x-axis in three pl.

You do know that the x-coordinate of a point where f(x)= ax2+bx+c crosses the x-axis is a zero of the function.

If ax2+bx+c had three zeros say j,k & m then each of (x-j), (x-k) & (x-m) would have to be a factor. But would the product (x-j)(x-k)(x-m) be a quadratic equation?


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