Question

Write the polynomial in standard form. State the degree and leading coefficient:

−9 + 7m^3 − 11m + 3/5m^5

Degree:_____________
Leading Coefficient:_____________

Answer 1

Answers:

• Standard form =
  `(3)/(5)m^5 + 7m^3 - 11m-9`
• Degree = 5
• Leading coefficient = 3/5

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Explanation:

The largest exponent term is what will go first. Then the term with the second largest goes next, and so on. We count the exponents down. The exponents will count down in this case as 5, 3, 1, 0

Note: -9 = -9*1 = -9m^0 and -11m = -11m^1

So that's why standard form is
`(3)/(5)m^5 + 7m^3 - 11m-9`

We can write this as (3/5)m^5 + 7m^3 - 11m - 9

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The leading term is the first term after getting everything in standard form. The coefficient of the leading term is the leading coefficient. So in this case, it would be 3/5.

The degree is the largest exponent. So the degree is 5. This is a quintic polynomial.