Question

the number of zeros depends on the line or curves intersecting________

a)y-axis
b)x-axis
c)origin​

Answer 1

Answer:

y- axis is correct answer please mark me brainlest

Answer 2

Answer:

The number of zeros depends on the line or curves intersecting the x-axis. So, the correct option is b)x-axis.

Step-by-step explanation:

The number of zeroes of the polynomial p(x) = the number of times the graph of p(x) intersects the x−axis.

The intersection number in mathematics, and particularly in algebraic geometry, extends the intuitive idea of counting the instances in which two curves meet to higher dimensions, multiple (more than 2) curves, and appropriately accounting for tangency. To assert findings like Bézout's theorem, one needs to define intersection numbers. In some situations, the intersection number is evident, such as when the x- and y-axes intersect, which should be one.

Thus, calculating intersections at locations of tangency and intersections along positive dimensional sets introduces complexity.