SOLUTION: Part 1: Explain, in complete sentences, what it means to write a polynomial in standard form. Part 2: Provide an example of a 4-term polynomial, not in standard form, and explain

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Part 1: Explain, in complete sentences, what it means to write a polynomial in standard form. Part 2: Provide an example of a 4-term polynomial, not in standard form, and explain       Log On


   

Question 337158: Part 1: Explain, in complete sentences, what it means to write a polynomial in standard form.
Part 2: Provide an example of a 4-term polynomial, not in standard form, and explain how to rewrite it in standard form...
I DONT KNOW HOW TO DO POLYNOMIALS IN STANDARD FORM
Found 2 solutions by CharlesG2, solver91311:
Answer by CharlesG2(834) About Me  (Show Source):
You can put this solution on YOUR website!
Part 1: Explain, in complete sentences, what it means to write a polynomial in standard form.
Part 2: Provide an example of a 4-term polynomial, not in standard form, and explain how to rewrite it in standard form...
I DONT KNOW HOW TO DO POLYNOMIALS IN STANDARD FORM


Let me see if I can help you out...

If you have a given polynomial and you want it in standard form, then rewrite the polynomial so that the terms are in descending order from highest powered term to lowest powered term. You will then end up with an equation with the terms on one side of the equal sign and a zero on the other side of the equal sign.

4 term polynomial example: 3x + 2x^3 - 4x^2 = -12

rearrange terms

2x^3 - 4x^2 + 3x + 12 = 0

see the powers on the x, they descend 3 then 2 then 1 then 0

x^0 = 1, that is why you do not see it next to the 12 term

and the 0 is on the right side of the equal sign

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The terms are arranged in order of descending degree. The following is a general polynomial of degree in standard form.



A polynomial equation in standard form is an equation with a standard form polynomial in the LHS set equal to a zero RHS, thus:



A polynomial function in standard form is a function defined by a polynomial in standard form:



And, by the way, all caps is the electronic equivalent of shouting. It is therefore both annoying and rude. Please stop doing it.

John

My calculator said it, I believe it, that settles it