Question

Which expression is a possible leading term for the polynomial function graphed below? mc012-1.jpg –4x8 –4x5 4x5 4x8

Answer 1

-4x⁸  is a possible leading term for the polynomial function graphed below

Step-by-step explanation:

The polynomial function given in the graph cut the x -axis at  4 places

so it should have minimum 4 roots

The graph falls to the left and right,

it will have even order

and negative leading coefficient.

Hence only option matching all these would be -4x⁸

Learn More

Which polynomial function has a leading coefficient of 1

https://brainly.in/question/5677354

Answer 2

The correct  option is A) -4x⁸

Step-by-step explanation:

Consider the provided information.

The graph of the function is shown below:

A function is said to be even if it is symmetric about y axis.

The graph shown here is symmetric about y axis therefore the polynomial function is even function.

The polynomial function has 4 real roots as it intersect the x axis 4 times. Thus, the exponent of x can be a multiple of 4.

The Graph falls to the left and right also it is even function that means the value of leading coefficient must be negative.

Therefore, the correct choice with a negative leading coefficient and even function is $-4x^8$

Hence, the correct  option is A) $-4x^8$

#Learn more

Which expression is a possible leading term for the polynomial function graphed below?

A. -4x^8

B. -4x^5

C. 4x^5

D. 4x^8

https://brainly.com/question/11395385