Answer :
Answer: (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
Answer: -3x⁸ + 2x⁵ + 4x³
b) The degree of the polynomial is the largest exponent.
Answer: 8
c) Terms are seperated by plus and minus signs
-3x⁸ , 2x⁵ , 4x³ are the terms
Answer: 3
d) The leading term is the term with the largest degree.
-3x⁸
Answer: -3x⁸
e) The leading coefficient is the number attached to the largest degree.
Answer: -3
The standard form of a polynomial is [tex]\rm P(x)=4x^3+2x^5-3x^8[/tex].
The degree of the polynomial is 8.
The number of terms in the given polynomial is 3.
The leading term of the polynomial is [tex]\rm -3x^8[/tex].
The leading coefficient of the polynomial is -3.
Given; Polynomial; [tex]\rm 2x^5+4x^3-3x^8[/tex]
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,
[tex]\rm P(x)=4x^3+2x^5-3x^8[/tex]
The standard form of a polynomial is [tex]\rm P(x)=4x^3+2x^5-3x^8[/tex].
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 [tex]\rm -3x^8[/tex].
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.
https://brainly.com/question/2263981