Factoring Polynomials Quiz

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Questions and Answers

Which of the following is the complete factored form of $4a^2 - 4a^2b + a^2b^2$?

  • $a^2(4 - 4b + b^2)$ (correct)
  • $4a^2 - 4ab + a^2b^2$
  • $4a^2(1 - b + ab)$
  • $4a^2 - 4a^2b + a^2b^2$

Which term(s) can be factored out from $4a^2 - 4a^2b + a^2b^2$?

  • None of the terms can be factored out.
  • $4a^2$ (correct)
  • $-4a^2b$
  • $a^2b^2$

What is the degree of the polynomial $4a^2 - 4a^2b + a^2b^2$?

  • 0
  • 3
  • 1
  • 2 (correct)

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Study Notes

Factoring Polynomials

  • The complete factored form of the polynomial $4a^2 - 4a^2b + a^2b^2$ is $a^2(4 - 4b + b^2)$ or $a^2(2 - b)^2$.
  • The term that can be factored out from $4a^2 - 4a^2b + a^2b^2$ is $a^2$.
  • The degree of the polynomial $4a^2 - 4a^2b + a^2b^2$ is 3.

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