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Polynomials and Rational Expressions Questions - All Grades

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Grade 9 Polynomials and Rational Expressions
Simplify: 5x + 12x
  1. 7x
  2. [math]7x^2[/math]
  3. 17x
  4. [math]17x^2[/math]
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Find the greatest common factor of the terms in the polynomial.

[math]9x^4 + 12x^3 +6x[/math]
  1. [math]2x^2[/math]
  2. [math]3x[/math]
  3. [math]6x^3[/math]
  4. [math]9x^4[/math]
Grade 11 Polynomials and Rational Expressions
Divide and simplify. [math](3x)/(x+9)-:(x)/(3x+27) \ \ \ (x!=-9,0)[/math]
  1. [math]x^2/(x+9)^2[/math]
  2. [math]9/x[/math]
  3. [math]x/9[/math]
  4. [math]9[/math]
Grade 11 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 11 Polynomials and Rational Expressions
Use the GCF of the terms to factor the polynomial.

Given: [math] 23x^4 + 46x^3 [/math]
  1. [math] x^3(23x+46) [/math]
  2. [math] 23x^3(x+2) [/math]
  3. [math] 23x^4(x+2) [/math]
  4. [math] 23x(x^3+2x^2) [/math]
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 11 Polynomials and Rational Expressions
Divide and simplify the expression [math](x-2)/(5x+10)-:(3)/(3x+6)[/math].
  1. [math]5/(x-2), \ \ x!=-2[/math]
  2. [math](3(x-2))/(15(x+2)^2)[/math]
  3. [math](x-2)/5, \ \ x!=-2[/math]
  4. [math](3(x-2))/(15(x+2))[/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 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 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 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 11 Polynomials and Rational Expressions
Simplify the expression [math](7x^2-63)/(x+3)[/math].
  1. [math](x+3)/7, \ x!=-3[/math]
  2. [math](7x^2-9)/(x), \ x!=-3[/math]
  3. [math]7(x+3), \ x!=-3[/math]
  4. [math]7(x-3), \ x!=-3[/math]
Grade 11 Polynomials and Rational Expressions
Find the values that make the rational expression undefined:

[math](x^2+3)/(x(x+5)[/math]
  1. [math]x=0[/math] or [math]-5[/math]
  2. [math]x=0[/math] or [math]7[/math]
  3. [math]x=0[/math] or [math]5[/math]
  4. [math]x=2[/math] or [math]4[/math]
Grade 11 Polynomials and Rational Expressions
Simplify the rational expression:

[math](2y)/(8y^2)[/math]
  1. [math]y/6[/math]
  2. [math](2y)/3[/math]
  3. [math]1/(4y)[/math]
  4. [math]2/(5y)[/math]
Grade 9 Polynomials and Rational Expressions
Grade 9 Polynomials and Rational Expressions
Grade 9 Polynomials and Rational Expressions
Grade 11 Polynomials and Rational Expressions
Find the value that makes the rational expression undefined:

[math]8/(y+6)[/math]
  1. [math]y= -4[/math]
  2. [math]y=0[/math]
  3. [math]y=3[/math]
  4. [math]y=-6[/math]
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]
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