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Which of the following could be the graph of polynomial whose leading term

Which of the following could be the graph of polynomial whose leading term-example-1
Which of the following could be the graph of polynomial whose leading term-example-1
Which of the following could be the graph of polynomial whose leading term-example-2
Which of the following could be the graph of polynomial whose leading term-example-3
Which of the following could be the graph of polynomial whose leading term-example-4

1 Answer

2 votes

Answer:

Step-by-step explanation:

Given:

The graphs of different polynomial functions

To find:

The graph of a polynomial with a leading term of x²

For a leading term of a polynomial to be x², it means the highest degree is 2.

Polynomial with highest degree as 2 gives a parabola when graphed.

Their equation is in the form of a quadratic equation.

From the options, the third image is a graph of a polynomial that opens up.

SInce the coefficient of x²is 1 (positive), the graph of a positive leading term opens up.

Hence, the correct graph depicting x² is the 3rd graph from the upload

Which of the following could be the graph of polynomial whose leading term-example-1
Which of the following could be the graph of polynomial whose leading term-example-2
User Scuro
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