Suppose the curve y = p(x) is symmetric about the y-axis and cuts the x-axis at x = -4 and x = 4 only. What is the sum of its zeroes, and what does the symmetry tell you?

Question

Accepted Answer

0. Zeroes are -4 and 4 (symmetric about the y-axis). Their sum is -4 + 4 = 0, consistent with symmetry about x = 0.

Suppose the curve $y = p (x)$ is symmetric about the $y$ -axis and cuts the $x$ -axis at $x = - 4$ and $x = 4$ only.
What is the sum of its zeroes, and what does the symmetry tell you?

Step-by-Step Solution

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More Class 10 Graphical Meaning of Zeroes practice

Suppose the curve y=p(x) is symmetric about the y-axis and cuts the x-axis at x=−4 and x=4 only.What is the sum of its zeroes, and what does the symmetry tell you?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Graphical Meaning of Zeroes practice

Suppose the curve $y = p (x)$ is symmetric about the $y$ -axis and cuts the $x$ -axis at $x = - 4$ and $x = 4$ only.
What is the sum of its zeroes, and what does the symmetry tell you?