A class in Lucknow studies the graph of p(x) = (x - 2)^2 (x + 3). Using only graphical meaning, how many distinct points lie on the x-axis, and which point is a 'touch' rather than a 'cross'?

Question

Accepted Answer

2 points; x = 2 is a touch. Zeroes: x = 2 (double, from (x-2)^2) and x = -3 (single). Distinct x-axis points = 2. The double zero x = 2 is a touch; x = -3 is a crossing.

A class in Lucknow studies the graph of $p (x) = (x - 2)^{2} (x + 3)$ .
Using only graphical meaning, how many distinct points lie on the $x$ -axis, and which point is a 'touch' rather than a 'cross'?

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More Class 10 Graphical Meaning of Zeroes practice

A class in Lucknow studies the graph of p(x)=(x−2)2(x+3).Using only graphical meaning, how many distinct points lie on the x-axis, and which point is a 'touch' rather than a 'cross'?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Graphical Meaning of Zeroes practice

A class in Lucknow studies the graph of $p (x) = (x - 2)^{2} (x + 3)$ .
Using only graphical meaning, how many distinct points lie on the $x$ -axis, and which point is a 'touch' rather than a 'cross'?