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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. $7x^2$
3. 17x
4. $17x^2$
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Find the greatest common factor of the terms in the polynomial.

$9x^4 + 12x^3 +6x$
1. $2x^2$
2. $3x$
3. $6x^3$
4. $9x^4$
Grade 11 Polynomials and Rational Expressions
Divide and simplify. $(3x)/(x+9)-:(x)/(3x+27) \ \ \ (x!=-9,0)$
1. $x^2/(x+9)^2$
2. $9/x$
3. $x/9$
4. $9$
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
What is the difference $(x^4 - 3x^2 + 4x + 7) - (x^4 - 6x^3 + 4x)?$
1. $3x^3 + 7$
2. $6x^3 - 3x^2 + 7$
3. $6x^3 - 3x^2 + 8x + 7$
4. $3x^3 + 8x + 7$
Grade 11 Polynomials and Rational Expressions
Use the GCF of the terms to factor the polynomial.

Given: $23x^4 + 46x^3$
1. $x^3(23x+46)$
2. $23x^3(x+2)$
3. $23x^4(x+2)$
4. $23x(x^3+2x^2)$
Grade 9 Polynomials and Rational Expressions
Simplify
$2x + 3x^2 - 5x +4 - 7x^2$
1. $7x^2 +4$
2. $7x +10x^2 +4$
3. $-4x^2 -3x +4$
4. $-3x^6$
Grade 8 Polynomials and Rational Expressions
Grade 11 Polynomials and Rational Expressions
Divide and simplify the expression $(x-2)/(5x+10)-:(3)/(3x+6)$.
1. $5/(x-2), \ \ x!=-2$
2. $(3(x-2))/(15(x+2)^2)$
3. $(x-2)/5, \ \ x!=-2$
4. $(3(x-2))/(15(x+2))$
Grade 9 Polynomials and Rational Expressions
Simplify the expression.
$(5m^2 - 4m - 8) - ( 3m^2-6m+2)$
1. $8m^2 - 10m +6$
2. $8m^2 +2m -10$
3. $2m^2 +2m -10$
4. $-2m^2 - 10m +6$
Grade 10 Polynomials and Rational Expressions
Select the polynomial that is written in standard form.
1. $3x^2+4x^5-7x$
2. $4x^5+3x^2-7x$
3. $-7x+4x^5+3x^2$
4. $7+4x^5-3x^4+2x^3$
Grade 11 Polynomials and Rational Expressions
Write the given polynomial in standard form.

Given: $4g–g^3 +3g^2 –2$
1. $–2+4g+3g^2–g^3$
2. $3g^3 –g^2 +4g–2$
3. $g^3–3g^2+4g–2$
4. $–g^3 +3g^2 +4g–2$
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Which polynomial has the factorization $(x - 10)(x^2 + 10x + 100)?$
1. $x^3 - 1000$
2. $x^3 - 100$
3. $x^3 + 100$
4. $x^3 + 1000$
Grade 11 Polynomials and Rational Expressions
Simplify the expression $(7x^2-63)/(x+3)$.
1. $(x+3)/7, \ x!=-3$
2. $(7x^2-9)/(x), \ x!=-3$
3. $7(x+3), \ x!=-3$
4. $7(x-3), \ x!=-3$
Grade 11 Polynomials and Rational Expressions
Find the values that make the rational expression undefined:

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

$(2y)/(8y^2)$
1. $y/6$
2. $(2y)/3$
3. $1/(4y)$
4. $2/(5y)$
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:

$8/(y+6)$
1. $y= -4$
2. $y=0$
3. $y=3$
4. $y=-6$
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Simplify the expression
$9y ^2 - 2y - 3y^2 + 5y$
1. $12 y^2 + 3y$
2. $6y^2 + 3y^2$
3. $6 y^2 + 3y$
4. $6y^2 + 7y$
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