When multiplying polynomials for a math assignment, pat found the product to be -4x + 8x^2 - 2x^3 + 5 . He then had to state the leading coefficient of this polynomial. Pat wrote down -4. Do you agree with Pat’s answer? Explain your reasoning.

Respuesta :

-2 is the leading coefficient because the highest rated polynomial is the third degree one.

No, I did not agree with Pat's answer because a polynomial should be stated according to the power of its degree. The highest degree (^3) should be stated first.

What is a polynomial?

A polynomial is an algebraic expression with two or more terms whose degree is raised to the power of (^3) and requires the sum of powers in one or more variables.

From the given information, the arrangement of Pat's answer is supposed to be in hierarchial order by taking the power of each variable degree into consideration.

  • -4x + 8x^2 - 2x^3 + 5 should be properly stated as:
  • - 2x^3 + 8x^2 - 4x+5

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