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Twelfth Grade (Grade 12) Polynomials and Rational Expressions Questions

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Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.C.5
How can one determine the coefficients of the Binomial Theorem expansion for [math](x+y)^n[/math], where [math]n[/math] is an integer? There may be more than one correct answer.
  1. Pascal's Triangle
  2. Binomial Permutation
  3. [math]({:(n),(k):}), \ k=0,...,n[/math]
  4. [math](n!)/(k!(n-k)!), \ k=0,...,n[/math]
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
What is [math]4x^3-2x^2+7x+5[/math] divided by [math](x+2)?[/math]
  1. [math](4x^2-10x+27)-49/(x+2)[/math]
  2. [math](4x^2-10x+27)[/math]
  3. [math](4x^2-10x+27)+59/(x+2)[/math]
  4. [math](4x^2-10x+27)-59/(x+2)[/math]
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
What is the remainder of [math]x^2+6x-2[/math] divided by [math]x-5[/math]?
  1. [math]-7[/math]
  2. [math]x-53[/math]
  3. [math]53[/math]
  4. [math]-2[/math]
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
What is [math]x^2+14x-6[/math] divided by [math](x+7) ?[/math]
  1. [math](x+7)+8/(x+7)[/math]
  2. [math](x+7)-55/(x+7)[/math]
  3. [math](x+7)-20/(x+7)[/math]
  4. [math](x+7)[/math]
Grade 12 Polynomials and Rational Expressions CCSS: HSN-CN.C.9
Grade 12 Polynomials and Rational Expressions
[math]f(x)=2x^5+x^3-3x[/math] is                     .
  1. even
  2. odd
  3. both even and odd
  4. neither even nor odd
Grade 12 Polynomials and Rational Expressions
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
What is [math]13x^2+5x-8[/math] divided by [math](x+8) ?[/math]
  1. [math](13x-104)+874/(x+8)[/math]
  2. [math](13x-99)+784[/math]
  3. [math](13x-8)[/math]
  4. [math](13x-99)+784/(x+8)[/math]
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
What is the remainder of [math]5x^2+2x-8[/math] divided by [math]x-3[/math]?
  1. [math]-8[/math]
  2. [math]x-53[/math]
  3. [math]43[/math]
  4. [math]51[/math]
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
What is [math]4x^2-6x+2[/math] divided by [math](2x-1) ?[/math]
  1. [math](x-2)+2/(2x-1)[/math]
  2. [math](2x-2)+2/(2x-1)[/math]
  3. [math](2x-2)[/math]
  4. [math](4x-1)+2/(2x-1)[/math]
Grade 12 Polynomials and Rational Expressions CCSS: HSN-CN.C.9
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
What is the remainder of [math]x^2-x-2[/math] divided by [math]x+6[/math]?
  1. [math]-2[/math]
  2. [math]40[/math]
  3. [math]x-40[/math]
  4. [math]x+2[/math]
Grade 12 Polynomials and Rational Expressions
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
What is the remainder of [math]4x^2+2x-5[/math] divided by [math]x-2[/math]?
  1. [math]-2[/math]
  2. [math]x-15[/math]
  3. [math]15[/math]
  4. [math]x+15[/math]
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
What is [math]3x^2-7x-6[/math] divided by [math](x-3) ?[/math]
  1. [math](3x+2)+6/(x-3)[/math]
  2. [math]3x+2[/math]
  3. [math]x-3[/math]
  4. [math]3x^2-8x-9[/math]
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