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Tenth Grade (Grade 10) Polynomials and Rational Expressions Questions

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Grade 10 Polynomials and Rational Expressions
Given: [math] (5x + 6)(8x - 4) [/math]

The product of the given is:
  1. [math] 13x + 2 [/math]
  2. [math] 40x - 24 [/math]
  3. [math] 40x^2 + 24 [/math]
  4. [math] 40x^2 - 20x + 48x - 24 [/math]
Grade 10 Polynomials and Rational Expressions CCSS: HSA-SSE.A.2
Factor the expression.
[math]x^4 - y^4[/math]
  1. [math](x - y)^4[/math]
  2. [math](x^2 + y^2)(x + y)(x - y)[/math]
  3. [math](x^2 + y^2)(x^2 - y^2)[/math]
  4. Can't be factored
Grade 10 Polynomials and Rational Expressions
Which of the following represents the simplified polynomial expression, given [math]3x^2y(3x^2y^2+7xy^3-4y^4)[/math] ?
  1. [math]9x^4y^6+21x^2y^3-12x^2y^4[/math]
  2. [math]6x^2y^2+10x^2y^3-7x^2y^4[/math]
  3. [math]9x^4y^3+21x^3y^4-12x^2y^5[/math]
  4. [math]6x^4y^3+10x^3y^4-7x^2y^5[/math]
Grade 10 Polynomials and Rational Expressions
Write the expression [math](x + 5)(x + 2)[/math] as a polynomial in standard form.
  1. [math] x^2 + 3x + 10 [/math]
  2. [math] x^2 - 3x + 7 [/math]
  3. [math] x^2 +7x + 10 [/math]
  4. [math] x^2 +3x -3 [/math]
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Simplify: [math]2x^3y^{-3}\cdot 2x^{-1}y^3[/math]
  1. 1
  2. [math]4x^5y^6[/math]
  3. [math]2x^2[/math]
  4. [math]4x^2[/math]
  5. None of the above.
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
What is the difference [math](x^4 - 3x^2 + 4x + 7) - (x^4 - 6x^3 + 4x)?[/math]
  1. [math]3x^3 + 7[/math]
  2. [math]6x^3 - 3x^2 + 7[/math]
  3. [math]6x^3 - 3x^2 + 8x + 7[/math]
  4. [math]3x^3 + 8x + 7[/math]
Grade 10 Polynomials and Rational Expressions
[math]c/a+3/4 =[/math]
  1. [math](4c+3a)/(4a)[/math]
  2. [math](3c+4a)/(4a)[/math]
  3. [math]((c+a)4)/(4a)[/math]
Grade 10 Polynomials and Rational Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Factor: [math]9y^2 - 25[/math]
  1. [math](3y + 5) (3y - 5)[/math]
  2. [math](9y + 5) (9y - 5)[/math]
  3. [math](9y - 25) (y + 1)[/math]
  4. [math](3y + 30) (3y - 5)[/math]
Grade 10 Polynomials and Rational Expressions
[math]-2g - 3g^2[/math]
  1. cubic
  2. linear
  3. quadratic
  4. none of the above
Grade 10 Polynomials and Rational Expressions
Select the polynomial that is written in standard form.
  1. [math]3x^2+4x^5-7x[/math]
  2. [math]4x^5+3x^2-7x[/math]
  3. [math]-7x+4x^5+3x^2[/math]
  4. [math]7+4x^5-3x^4+2x^3[/math]
Grade 10 Polynomials and Rational Expressions
Factor: [math]6x^4 + 18x^3 - 24x^2[/math]
  1. [math]6x^2(x+4)(x-1)[/math]
  2. [math]6x^3(x + 3x - 4)[/math]
  3. [math]3x^2 (2x^2 + 6x - 8)[/math]
  4. [math]3x^2(x - 4)(2x + 3)[/math]
Grade 10 Polynomials and Rational Expressions
Factor: [math]15x^6 - 6x^3 + 9x^2[/math]
  1. [math]5x^4 (3x^2 -2x + 6)[/math]
  2. [math]3x^2 (5x^4 -2x + 3)[/math]
  3. [math]3x^4 (5x^2 - 2x +3)[/math]
  4. [math]2x^4 (7x^2 - 3x + 2)[/math]
Grade 10 Polynomials and Rational Expressions
[math]8n^2[/math]
  1. monomial
  2. binomial
  3. trinomial
  4. none of the above
Grade 10 Polynomials and Rational Expressions
[math]j^4 – 3j^9 – 6j^3[/math]
  1. monomial
  2. binomial
  3. trinomial
  4. none of the above
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
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 10 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Multiply. [math](x^2+x+1)(x^2+x+2)[/math]
  1. [math]x^4+5x^3+4x^2-x+4[/math]
  2. [math]x^4-6x^3+4x^2+2x+1[/math]
  3. [math]x^4+2x^3+4x^2+3x+2[/math]
  4. [math]2x^4-2x^3+x^2+4x+2[/math]
Grade 10 Polynomials and Rational Expressions
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
[math]x(8x - 5y) - x(x - 6y) - 3x(3 + 3y)[/math]
  1. [math]9x^2 +15xy -14x[/math]
  2. [math]7x^2 - 8xy - 9x[/math]
  3. [math]9x^2 +xy - 18x[/math]
  4. [math]7x^2 + 8xy - 9x[/math]
Grade 10 Polynomials and Rational Expressions
Grade 10 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]
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