Jacob902
  • Jacob902
Which of the following is not a polynomial? A. 5 - x^2 + 7x^0 B. x^8 + 2x^3 + 7 C. 3x^4 D. 5x^10 - 4x^-8 + 2
Mathematics
jamiebookeater
  • jamiebookeater
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Jacob902
  • Jacob902
c.?
anonymous
  • anonymous
Recall the definition of a polynomial. A n-order polynomial takes on the form of: \[y = ax^n + bx^{n-1} + ..+ px+ q\]
anonymous
  • anonymous
Any of the coefficients of the terms can be 0.

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anonymous
  • anonymous
So \[3x^4\] is a polynomial too. It just means that the coefficient of all other terms is 0.
anonymous
  • anonymous
Notice however, that all terms of polynomials have positive exponents.
Jacob902
  • Jacob902
so its D.?
anonymous
  • anonymous
Correct.
Jacob902
  • Jacob902
What is the degree of 7x^6 - 6x^5 + 2x^3 + x - 8?
anonymous
  • anonymous
The degree of a polynomial would be the highest power. In this case, it is 6.
Jacob902
  • Jacob902
Which of the following shows the polynomial below written in descending order? 4x^2 - x + 8x^6 + 3 + 2x^10 A. 2x^10 + 8x^6 + 4x^2 - x + 3 B. 3 + 2x^10 + 8x^6 + 4x^2 - x C. 8x^6 + 4x^2 + 3 + 2x^10 - x D. 3 - x + 2x^10 + 8x^6 + 4x^2

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