Parts of the curve y = p(x) are shown. It crosses the x-axis at x = -5, touches at x = 0, and crosses at x = 4. How many real zeroes does p(x) have counting multiplicity, and what is the least degree?

Question

Accepted Answer

4 counting multiplicity; least degree 4. Cross at -5 (1) + touch at 0 (double = 2) + cross at 4 (1) = 4 zeroes counting multiplicity, so least degree is 4.

Parts of the curve $y = p (x)$ are shown. It crosses the $x$ -axis at $x = - 5$ , touches at $x = 0$ , and crosses at $x = 4$ .
How many real zeroes does $p (x)$ have counting multiplicity, and what is the least degree?

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More Class 10 Graphical Meaning of Zeroes practice

Parts of the curve y=p(x) are shown. It crosses the x-axis at x=−5, touches at x=0, and crosses at x=4.How many real zeroes does p(x) have counting multiplicity, and what is the least degree?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Graphical Meaning of Zeroes practice

Parts of the curve $y = p (x)$ are shown. It crosses the $x$ -axis at $x = - 5$ , touches at $x = 0$ , and crosses at $x = 4$ .
How many real zeroes does $p (x)$ have counting multiplicity, and what is the least degree?