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What is the LEADING COEFFICIENT of the polynomial: 2x^2y - 7x^2y^3 + 6xy^2

2 Answers

5 votes


\mathbb{FINAL\;ANSWER:}


\huge\boxed{\sf{The\;coefficient\;is\;-7}}


\mathbb{SOLUTION\;WITH\;STEPS:}

Hi! Hope you are having a nice day!

The leading coefficient of the given polynomial is -7.

Why? Because the leading coefficient is the number written before the variable with the largest exponent.

In this case, it's -7, because it's written next to a term that's cubed, and that's the largest exponent in the polynomial.

Also, if a term has two variables (or more) then we add the exponents in that term in order to get the degree of the term.

In this case, it's 5.

Hope you could understand everything.

#CarryOnLearning

User Timothyqiu
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5.5k points
8 votes

Answer:

-7

Explanation:

Leading coefficient: the number written in front of the variable with the largest degree.

If a term has two or more variables, its degree is the sum of the exponents of its variables

For
2x^2y - 7x^2y^3 + 6xy^2

  • The degree of the first term of the polynomial is 3 (2 + 1 = 3)
  • The second term of the polynomial is of degree 5 (2 + 3 = 5)
  • The third term of the polynomial is of degree 3 (1 + 2 = 3)

Therefore, the leading coefficient is -7 since the greatest sum of the exponents is of the second term.

User Deafsheep
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5.5k points