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Polynomials and Rational Expressions Questions - All Grades

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Grade 9 Polynomials and Rational Expressions
Simplify
[math]2x + 3x^2 - 5x +4 - 7x^2[/math]
  1. [math]7x^2 +4[/math]
  2. [math]7x +10x^2 +4[/math]
  3. [math]-4x^2 -3x +4[/math]
  4. [math]-3x^6[/math]
Grade 9 Polynomials and Rational Expressions
Simplify the expression.
[math](5m^2 - 4m - 8) - ( 3m^2-6m+2)[/math]
  1. [math]8m^2 - 10m +6[/math]
  2. [math]8m^2 +2m -10[/math]
  3. [math]2m^2 +2m -10[/math]
  4. [math]-2m^2 - 10m +6[/math]
Grade 11 Polynomials and Rational Expressions
Write the given polynomial in standard form.

Given: [math] 4g–g^3 +3g^2 –2 [/math]
  1. [math] –2+4g+3g^2–g^3 [/math]
  2. [math] 3g^3 –g^2 +4g–2 [/math]
  3. [math] g^3–3g^2+4g–2 [/math]
  4. [math] –g^3 +3g^2 +4g–2 [/math]
Grade 9 Polynomials and Rational Expressions
Grade 9 Polynomials and Rational Expressions
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Which polynomial has the factorization [math](x - 10)(x^2 + 10x + 100)?[/math]
  1. [math]x^3 - 1000[/math]
  2. [math]x^3 - 100[/math]
  3. [math]x^3 + 100[/math]
  4. [math]x^3 + 1000[/math]
Grade 9 Polynomials and Rational Expressions
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Simplify the expression
[math]9y ^2 - 2y - 3y^2 + 5y[/math]
  1. [math]12 y^2 + 3y[/math]
  2. [math]6y^2 + 3y^2[/math]
  3. [math]6 y^2 + 3y [/math]
  4. [math] 6y^2 + 7y[/math]
Grade 11 Polynomials and Rational Expressions
Find the Greatest Common Factor (GCF) of the terms of the given polynomial.

Given: [math] 8x^6 + 32x^3 [/math]
  1. [math] x^3 [/math]
  2. [math] 8x^3 [/math]
  3. [math] 4x^3 [/math]
  4. [math] 8x^6 [/math]
Grade 9 Polynomials and Rational Expressions
Combine Like Terms
[math]4x^2 + 5z + 18x^2[/math]
  1. [math]14x^2 + 5z[/math]
  2. [math]22x^2 + 5z[/math]
  3. [math]22x^2 - 5z[/math]
  4. [math]-18x^2 - 5z[/math]
Grade 9 Polynomials and Rational Expressions
[math](9k+ 4n) - (11k + 6n)[/math]
  1. [math]2k + 10n[/math]
  2. [math]-2k -2n[/math]
  3. [math]2k - 2n[/math]
  4. [math]20k -10k[/math]
Grade 11 Polynomials and Rational Expressions
What are the coefficients of the given mathematical expression: [math] 7p^3r - 5t^3s -21p^2r - 10s^3t^3 [/math]
  1. [math] 3,1; 3,1; 2,1; 3,3 [/math]
  2. [math] 7, -5,- 21, -10 [/math]
  3. [math] 3, 3, 2, 3, 3 [/math]
  4. [math] -29p^5r^2s^4t^6 [/math]
Grade 9 Polynomials and Rational Expressions
What is the simplest form of [math]2ab^2(4a + 3a^3b)[/math]?
  1. [math]6a^2b^2 + 5a^4b^3[/math]
  2. [math]8a^2b^2 + 6a^4b^3[/math]
  3. [math]8ab^2 + 6a^3b^2[/math]
  4. [math]14a^5b^3[/math]
Grade 8 Polynomials and Rational Expressions
Simplify: [math](15x^2y)/(20xy^2)[/math]
  1. [math](3x)/(4y)[/math]
  2. [math](3x^3y^3)/4[/math]
  3. [math]9/(16y)[/math]
  4. [math]x/(5y)[/math]
Grade 9 Polynomials and Rational Expressions
What is the simplest form of (2n - 6)(4n + 2)?
  1. [math]6n^2 + 28n - 12[/math]
  2. [math]8n^2 - 12[/math]
  3. [math]8n^2 - 20n - 12[/math]
  4. [math]8n^2 + 20n - 12[/math]
Grade 11 Polynomials and Rational Expressions
Grade 11 Polynomials and Rational Expressions
Determine the best statement that describes the following:

[math] 40x^2 - 20x + 48x - 24 [/math]
  1. Is an expression that can be simplified to 3 terms. [math] 40x^2 + 28x - 24 [/math]
  2. Is an equation can be solved for the value of x. [math] x =6//17 [/math]
  3. Is an expression that can be simplified to 2 terms. [math] 68x -24 [/math]
  4. Is an expression that can be simplified to a term. [math] 44x [/math]
Grade 9 Polynomials and Rational Expressions
Identify the degree and name of the expression.
[math]9x^2 -8[/math]
  1. quadratic binomial
  2. quadratic monomial
  3. linear monomial
  4. cubic binomial
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