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What is the degree of the polyromial tunction 
(x)=2x^(2)+7x^(3)-4x-12.
4. 3
6. 5
C. 2
D 13

Select the correct answer.\newlineWhat is the degree of the polyromial tunction (x)=2x2+7x34x12 (x)=2 x^{2}+7 x^{3}-4 x-12 .\newline44. 33\newline66. 55\newlineC. 22\newlineD 1313

Full solution

Q. Select the correct answer.\newlineWhat is the degree of the polyromial tunction (x)=2x2+7x34x12 (x)=2 x^{2}+7 x^{3}-4 x-12 .\newline44. 33\newline66. 55\newlineC. 22\newlineD 1313
  1. Identify highest power: Identify the highest power of xx in the polynomial function f(x)=2x2+7x34x12f(x) = 2x^2 + 7x^3 - 4x - 12.
  2. Terms of the polynomial: The terms of the polynomial are 2x22x^2, 7x37x^3, 4x-4x, and 12-12. The term with the highest power of xx is 7x37x^3.
  3. Degree of the polynomial: The degree of a polynomial is the highest power of the variable xx that appears in the polynomial. Therefore, the degree of the polynomial f(x)=2x2+7x34x12f(x) = 2x^2 + 7x^3 - 4x - 12 is 33.
  4. Select correct answer: Select the correct answer from the given options based on the degree of the polynomial.\newlineA. 44\newlineB. 55\newlineC. 22\newlineD. 1313\newlineThe correct answer is 33, which corresponds to option A.

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