A graph of y = p(x) is tangent to (touches) the x-axis at x = -2 and crosses it at x = 3 and x = 5. What is the minimum degree of p(x), counting the touch as a double zero?

Question

Accepted Answer

4. Touch at -2 is a double zero (2), crossings at 3 and 5 add 2 more. Total counting multiplicity = 2 + 1 + 1 = 4, so minimum degree 4.

A graph of $y = p (x)$ is tangent to (touches) the $x$ -axis at $x = - 2$ and crosses it at $x = 3$ and $x = 5$ .
What is the minimum degree of $p (x)$ , counting the touch as a double zero?

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More Class 10 Graphical Meaning of Zeroes practice

A graph of y=p(x) is tangent to (touches) the x-axis at x=−2 and crosses it at x=3 and x=5.What is the minimum degree of p(x), counting the touch as a double zero?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Graphical Meaning of Zeroes practice

A graph of $y = p (x)$ is tangent to (touches) the $x$ -axis at $x = - 2$ and crosses it at $x = 3$ and $x = 5$ .
What is the minimum degree of $p (x)$ , counting the touch as a double zero?