Question

Activity:
Geometrical meaning of zeros of polynomials.​

Answer 1

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Answer 2

Step-by-step explanation:

Geometrical Meaning of Zeroes of Polynomials. A real number k is said to be a zero of a polynomial p(x), if p(k) = 0. Polynomials can easily be represented graphically. Zero of polynomial p(x) is x-coordinate of point where graph of p(x) intersects x-axis.

A real number k is said to be a zero of a polynomial p(x), if p(k) = 0.

Polynomials can easily be represented graphically.

Zero of polynomial p(x) is x-coordinate of point where graph of p(x) intersects x-axis. Polynomial p(x) intersects the x-axis @ x=2, thus zero of this polynomial is 2.

Linear polynomial ax + b, a ≠ 0, has exactly one zero

E.g. Zero of linear polynomial p(x) = 2x -6 is 3 & thus the graph of this polynomial intersect x axis only once.

Quadratic polynomial ax2 + bx +c, has nil, one or two zeroes

E.g. There are no Zeroes of Quadratic polynomial p(x) = x2 + 1 & thus the graph of this polynomial doesn’t intersect x axis.