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Polynomials and Rational Expressions Questions - All Grades

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Grade 12 Polynomials and Rational Expressions CCSS: HSF-IF.C.7c
On [math]f(x)=2x^5+x^3-3x[/math]
  1. [math](-0.65,1.4)[/math] is a relative and absolute maximum.
  2. [math](0.65,-1.4)[/math] is a relative and absolute minimum.
  3. [math](-0.65,1.4)[/math] is a relative maximum.
  4. [math](0.65,-1.4)[/math] is a relative minimum.
  5. Both A and B.
  6. Both C and D.
  7. None of the above.
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 10 Polynomials and Rational Expressions
Multiply. [math](x^2+x+1)(x^2+x+2)[/math]
  1. [math]x^4+2x^3+4x^2+3x+2[/math]
  2. [math]x^4-6x^3+4x^2+2x+1[/math]
  3. [math]x^4+5x^3+4x^2-x+4[/math]
  4. [math]2x^4-2x^3+x^2+4x+2[/math]
Grade 8 Polynomials and Rational Expressions
Multiply:
(4x-1)(3x+2)
  1. [math]12x^2+3x-2[/math]
  2. [math]12x^2-5x+1[/math]
  3. [math]12x^2+11x+2[/math]
  4. [math]12x^2+5x-2[/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 CCSS: HSA-APR.A.1
[math](x^2-64)/(x(x+8))*x/(x-8)[/math] =
  1. 1
  2. [math](x^3-64x)/((x+8)(x-8)[/math]
  3. [math](x^2-8)/(x^2-64)[/math]
Grade 8 Polynomials and Rational Expressions
What is the greatest common factor of the expression below?
[math]24x^5+36x^3-18x^2[/math]
  1. [math]2x^5[/math]
  2. [math]18x^2[/math]
  3. [math]3x[/math]
  4. [math]6x^2[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
[math]x+5[/math] is a
(select all that apply)
  1. Monomial
  2. Binomial
  3. Trinomial
  4. Polynomial
  5. None of the above
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
[math]3x^2+x-5[/math] is a
(select all that apply)
  1. Monomial
  2. Binomial
  3. Trinomial
  4. Polynomial
  5. None of the above
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
[math]5[/math] is a
(select all that apply)
  1. Monomial
  2. Binomial
  3. Trinomial
  4. Polynomial
  5. None of the above
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Simplify [math]((x+5)(2x-1))/(2x(x+1)^2)*(x(x+1))/(2x-1)[/math]
  1. [math]1/2[/math]
  2. [math]x+5[/math]
  3. [math]1/(2(x+1)[/math]
  4. [math](x+5)/(2(x+1)[/math]
  5. [math](x+5)/(2x)[/math]
Grade 11 Polynomials and Rational Expressions
[math]81 - 9k^2[/math]
  1. [math](3k - 9)(3k - 9)[/math]
  2. [math](9 + 3k)(9 - 3k)[/math]
  3. [math](3k + 9)(3k - 9)[/math]
  4. [math](9 + 3k) (9 + 3k)[/math]
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: HSF-IF.C.7c
[math]f(x)=2x^5+x^3-3x[/math] is                                                                                               .
  1. Increasing on [math](-oo,oo)[/math]
  2. Decreasing on [math](-oo,-0.65)cup(0.65,oo)[/math] and increasing on [math](-0.65,0.65)[/math]
  3. Increasing on [math](-oo,-0.65)cup(0.65,oo)[/math] and decreasing on [math](-0.65,0.65)[/math]
  4. Decreasing on [math](-oo,-1.4)cup(1.4,oo)[/math] and decreasing on [math](1.4,-1.4)[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Grade 11 Polynomials and Rational Expressions
Given: (5x + 6)(8x - 4)

The product of the given is:
  1. 13x + 2
  2. 40x - 24
  3. 40x² + 24
  4. 40x² - 20x + 48x - 24
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+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)[/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)[/math]
  2. [math](2x^2-5x+7)/(3x^2+8x-11)[/math]
  3. [math]2x^2+x-1[/math]
  4. [math]x+2[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
What is the least common denominator?
[math]1/(x+1)+4/((x+1)(x-1)[/math]
  1. [math](x+1)(x-1)[/math]
  2. [math](x+1)(x+1)[/math]
  3. [math](x-1)[/math]
  4. [math](x+1)[/math]
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