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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.D.7
Simplify [math](x^2-4x+3)/(x^2+4x-5)+(x^2+4x+3)/(x^2+6x+5)[/math]
  1. [math] (2x)/(x+5), \ x!= -1, 1[/math]
  2. [math](2x^2+6)/(2x^2+10x), \ x!= 0, -5[/math]
  3. [math](10(4x^2+3x))/(24x^2-10x-25)[/math]
  4. [math](6)/(x^2+6x+5) , \ x!= 1[/math]
Grade 12 Polynomials and Rational Expressions
Grade 12 Polynomials and Rational Expressions CCSS: HSN-CN.C.9
Grade 12 Polynomials and Rational Expressions CCSS: HSN-CN.C.9
Grade 12 Polynomials and Rational Expressions
Simplify. [math](5x + 7y)/( 3(x + y))[/math]
  1. [math]3[/math]
  2. [math]28/3[/math]
  3. [math]-1[/math]
  4. No further simplification
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
[math]1/(x^2-5x)+x/(x-5)=[/math]
  1. [math](x^2+1)/(x(x-5))[/math]
  2. [math](x+1)/(x-5)[/math]
  3. [math](x-1)/(x-5)[/math]
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
[math](x^2-64)/(x(x+8))*x/(x-8)[/math] =
  1. [math] 1 , \ \ x!=-8,0,8 [/math]
  2. [math](x^3-64x)/((x+8)(x-8)), \ \ x!= 0[/math]
  3. [math](x^2-8)/(x^2-64), \ \ x!= 0[/math]
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.C.4
[math](a+b)^2[/math]
Step 1: [math](a+b)(a+b)[/math]
Step 2: [math]a^2+ab+ab+b^2[/math]
Step 3: [math]a^2+ab^2+b^2[/math]
  1. The proof is correct
  2. Step 1 has an error
  3. Step 2 has an error
  4. Step 3 has an error
Grade 12 Polynomials and Rational Expressions
[math]x^5/2*(9yz)/y^7*(y^3)/(7z)[/math]=
  1. [math](x^2*9)/(2*y^3)[/math]
  2. [math](x^5*3)/(7y^4)[/math]
  3. [math](9x^5)/(14y^3)[/math]
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Simplify [math](x+2)/(x-1)+(x-3)/(x+1)[/math]
  1. [math](x^2-3x+1)/(x^2-x+4)[/math]
  2. [math](2x-1)/(2x)[/math]
  3. [math](x^2-x-6)/(x-1)[/math]
  4. [math](2x^2-x+5)/((x-1)(x+1))[/math]
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Simplify [math](x^2+7x+10)/(x^2-x-6)*(x^2-2x-3)/(2x^2+9x-5)[/math]
  1. [math](x+1)/(2x-1), \ x!= -5, -2, 3[/math]
  2. [math](2x^2-5x+7)/(3x^2+8x-11), \ x!= -2,3[/math]
  3. [math]2x^2+x-1[/math]
  4. [math]x+2[/math]
Grade 12 Polynomials and Rational Expressions
[math](7x^4y^(-3))(3x^(-2)y^7)=[/math]
  1. [math]21x^6y^10[/math]
  2. [math]21x^2y^4[/math]
  3. [math]21x^2y^10[/math]
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Simplify [math](x-1)/(x+3)*(x+2)/(x-1)[/math]
  1. [math]x^2+5x+6[/math]
  2. [math](-2)/(x-3), x!=3[/math]
  3. [math](x^2+x-2)/(x^2+2x-3)[/math]
  4. [math](x+2)/(x+3), \ x!=1[/math]
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
[math]4x^3-2x^2+7x+5[/math] divided by [math](x+2)[/math] is
  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.B.2
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.7
Simplify [math](x+2)/(x-1)+(x-3)/(x-1)[/math]
  1. [math](x^2-x-6)/(x^2-2x+1)[/math]
  2. [math](2x-1)/(x-1)[/math]
  3. [math]x^2-x-6[/math]
  4. [math]-1/2x[/math]
Grade 12 Polynomials and Rational Expressions
[math]81z^2-x^2[/math] =
  1. [math](9z-x)^2[/math]
  2. [math]81(z-x)(z+x)[/math]
  3. [math](9z-x)(9z+x)[/math]
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