Marcus states that the polynomial expression 3x3 – 4x2y + y2 + 2 is in standard form. Ariel states that it should be y2 – 4x2y +
3x3 +2. Explain which student is correct and why.
2 answers:
Answer:
I know that ariel is wrong because 3x^3 is higher power than y^2
3x^3 goes first
then the mixed term -4x^2y
then the y^2
then the 2
marcus is right
Step-by-step explanation:
Answer:
Here Ariel is wrong because 3x^3 is higher power than y^2
3x^3 goes first
then the mixed term -4x^2y
then the y^2
then the 2
So, Marcus is right
Standard form means that you write the terms by descending degree. here's main rules how to write polynomial expression in the standard form:
1. write the term with the highest exponent first (terms of third degree in our case 3x^3 );
2. write the terms with lower exponents in descending order (term -4x^2y followed by y^2
);
3. remember that a variable with no exponent has an understood exponent of 1 (here are no such terms);
4. a constant term (a number with no variable) always goes last (term 2).
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