Here is y = p(x): its graph crosses the x-axis at x = -3, touches it at x = 1, and rises again. How many real zeroes (counting multiplicity) does p(x) have, and what is the minimum degree?

Question

Accepted Answer

3 zeroes counting multiplicity; minimum degree 3. A crossing at -3 is one zero; a touch at 1 is a repeated (double) zero. Total counting multiplicity = 1 + 2 = 3, so minimum degree is 3.

Here is $y = p (x)$ : its graph crosses the $x$ -axis at $x = - 3$ , touches it at $x = 1$ , and rises again.
How many real zeroes (counting multiplicity) does $p (x)$ have, and what is the minimum degree?

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More Class 10 Graphical Meaning of Zeroes practice

Here is y=p(x): its graph crosses the x-axis at x=−3, touches it at x=1, and rises again.How many real zeroes (counting multiplicity) does p(x) have, and what is the minimum degree?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Graphical Meaning of Zeroes practice

Here is $y = p (x)$ : its graph crosses the $x$ -axis at $x = - 3$ , touches it at $x = 1$ , and rises again.
How many real zeroes (counting multiplicity) does $p (x)$ have, and what is the minimum degree?