Deepa observes that p(x) = x^2 + 1 never touches the x-axis on her graph. What does this tell her about the real zeroes of p(x)?

Question

Accepted Answer

It has no real zero. x^2 + 1 = 0 gives x^2 = -1, which no real number satisfies. So there is no real zero, matching the graph not touching the x-axis.

Deepa observes that $p (x) = x^{2} + 1$ never touches the $x$ -axis on her graph.
What does this tell her about the real zeroes of $p (x)$ ?

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More Class 9 Zeroes of a Polynomial practice

Deepa observes that p(x)=x2+1 never touches the x-axis on her graph.What does this tell her about the real zeroes of p(x)?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Zeroes of a Polynomial practice

Deepa observes that $p (x) = x^{2} + 1$ never touches the $x$ -axis on her graph.
What does this tell her about the real zeroes of $p (x)$ ?