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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
Use Pascal's triangle to expand (x+y)3.
  1. (x+y)3=x3+y3
  2. (x+y)3=x1+x2+x3+y1+y2+y3
  3. (x+y)3=x3+3x2y+3xy2+y3
  4. (x+y)3=xy+3x2y2+9x3y3
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.C.5
Use Pascal's triangle to expand (x+y)5.
  1. (x+y)5=x5+5x4y+10x3y2+10x2y3+4xy4+y5
  2. (x+y)5=x1+x2+x3+x4+x5+y1+y2+y3+y4+y5
  3. (x+y)5=x5+y5
  4. (x+y)5=xy+5x2y2+10x3y3+15x4y4+20x5y5
Grade 12 Polynomials and Rational Expressions
Simplify. 5x+7y3(x+y)
  1. 3
  2. 283
  3. -1
  4. No further simplification
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
1x2-5x+xx-5=
  1. x2+1x(x-5)
  2. x+1x-5
  3. x-1x-5
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.C.4
(a+b)2
Step 1: (a+b)(a+b)
Step 2: a2+ab+ab+b2
Step 3: a2+ab2+b2
  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
Is x+1 a factor of x50+2x15+1?
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.C.4
(x2+y2)2
Step 1: (x2+y2)(x2+y2)
Step 2: x4+2x2y2+y4
Step 3: (x2+y2)2+(2xy)2
  1. The proof is correct.
  2. Step 1 has an error.
  3. Step 2 has an error.
  4. Step 3 has an error.
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