Question

The number of distinct non-negative zeroes of the polynomial whose graph is as shown in the figure is?

Answer 1

Answer:

4

Step-by-step explanation:

This graph cuts the x - axis 8 times as follows :-

4 times on negative x - axis

3 times on positive x - axis

And 1 time on zero

So there are 4 negative zeros of the graph

And 4 non - negative zeros , that dont lie on negative x - axis.

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Answer 2

Concept:

Algebraic expressions called polynomials include coefficients and variables. Indeterminates are another name for variables. For polynomial expressions, we can do mathematical operations like addition, subtraction, multiplication, and positive integer exponents, but not division by variable. x²+x-12 is an illustration of a polynomial with a single variable. There are three terms in this illustration: x², x, and -12.

Given:

Graph of random function

Find:

The number of distinct non-negative zeroes of the polynomial whose graph is as shown in the figure is?

Solution:

This graph cuts the x - axis 8 times as follows :-

4 times on negative x - axis

3 times on positive x - axis

And 1 time on zero

So there are 4 negative zeros of the graph

And 4 non - negative zeros , that dont lie on negative x - axis.

Therefore,no. of non-negative zeroes=4

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