How do you write a polynomial in standard form, then

beyondthegametcm

beyondthegametcm

Answered question

2022-02-03

How do you write a polynomial in standard form, then classify it by degree and number of terms 12x39x2+5x36x2+3+2x?

Answer & Explanation

Anahi Pearson

Anahi Pearson

Beginner2022-02-04Added 16 answers

Explanation:
The starting polynomial is:
12x39x2+5x36x2+3+2x
The standard form means sorting the polynomial by the decreasing degree of terms:
12x3+5x39x26x2+2x+3
Now we can combine the like terms:
12x3+5x3=17x3
9x26x2=15x2
After the operation the polynomial is:
17x315x2+2x+3
The polynomial is now in the standard form. From the form we can say that:
It is a polynomial of third degree; this can be said because the highest degree of the variable x with non-zero coefficient is 3
The polynomial has four terms.

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