The polynomial is
2x^5 + 4x^3-3x^8

The standard form of a polynomial is .

The degree of the polynomial is 8.

The number of terms in the given polynomial is 3.

The leading term of the polynomial is .

The leading coefficient of the polynomial is -3.

Given; Polynomial;

Polynomial functions are the addition of terms consisting of a numerical coefficient multiplied by a unique power of the independent variables.

1. In the standard formula starts with the lowest degree, then the standard form of a polynomial is,

The standard form of a polynomial is .

2.  To find the degree all that you have to do is find the largest exponent in the given polynomial.

The degree of the polynomial is 8.

3. The number of terms in the given polynomial is 3.

4. The highest degree exponent term in a polynomial is known as its degree.

The leading term of the polynomial is .

5. The leading coefficient is the number attached to the largest degree.

The leading coefficient of the polynomial is -3.

For more details refer to the link given below.

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(a) -3x⁸ + 2x⁵ + 4x³  (b) 8  (c) 3  (d) - 3x⁸  (e) -3

Step-by-step explanation:

a) Standard form means to put the terms in order from largest degree (exponent) to smallest degree.

  Degrees should be written in this order: 8 > 5 > 3

 -3x⁸ + 2x⁵ + 4x³

b) The degree of the polynomial is the largest exponent.

8

c) Terms are seperated by plus and minus signs

    -3x⁸ ,  2x⁵ ,  4x³   are the terms

3

d) The leading term is the term with the largest degree.

    -3x⁸

-3x⁸

e) The leading coefficient is the number attached to the largest degree.

-3

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

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