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# Polynomials and Rational Expressions Questions - All Grades

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Grade 9 Polynomials and Rational Expressions
A polynomial that has two terms.
1. monomial
2. trinomial
3. binomial
Grade 9 Polynomials and Rational Expressions
Simplify: $2x^2+5+4x^2-3$
1. $2x^2-2$
2. $-2x^2+2$
3. $6x^2+2$
4. $6x^2+8$
Grade 9 Polynomials and Rational Expressions
Combine the polynomials.
$(5x^3-2x^2+7x)+( -3x^3 + x^2 -5x)$
1. $2x^3+2x^2+2x$
2. $2x^3-x^2+2x$
3. $2x^3+3x^2+2x$
4. $2x^3+x^2+9x$
Grade 9 Polynomials and Rational Expressions
Simplify the following polynomial by combining like terms. $(3x^4 + 5x^3 - 7x^2) + (5x^5 - 3x^4 + 2x^2)$
1. $8x^4 + 8x^3 + 9x^2$
2. $5x^5 + 5x^3 + 9x^2$
3. $5x^5 + 5x^3 - 5x^2$
4. $5x^5 + 6x^4 + 5x^3 + 9x^2$
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Multiply:
$(4x-1)(3x+2)$
1. $12x^2+3x-2$
2. $12x^2-5x+1$
3. $12x^2+11x+2$
4. $12x^2+5x-2$
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.C.4
Factor. $27x^3 + 64$
1. $(3x-4)(9x^2 + 12x + 16)$
2. $(3x + 4)(9x^2 - 12x + 16)$
3. $(3x+4)(9x^2 + 12x + 16)$
4. $"Can't factor further"$
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Multiply the rational expressions and simplify as much as possible.
$(3x^2)/(4x^3)*(-2x)/6$
1. $-1/4$
2. $-x/4$
3. $(6x)/24$
4. $x^3/x^2$
Grade 9 Polynomials and Rational Expressions
Grade 9 Polynomials and Rational Expressions
Grade 10 Polynomials and Rational Expressions
$c/a+3/4 =$
1. $(4c+3a)/(4a)$
2. $(3c+4a)/(4a)$
3. $((c+a)4)/(4a)$
Grade 9 Polynomials and Rational Expressions
Simplify: 5x + 12x
1. 7x
2. $7x^2$
3. 17x
4. $17x^2$
Grade 10 Polynomials and Rational Expressions CCSS: HSA-SSE.A.2
Factor the expression.
$x^4 - y^4$
1. $(x - y)^4$
2. $(x^2 + y^2)(x + y)(x - y)$
3. $(x^2 + y^2)(x^2 - y^2)$
4. Can't be factored
Grade 9 Polynomials and Rational Expressions
Grade 9 Polynomials and Rational Expressions
Simplify the expression.
$(2b^2 +8b - 10)+(-6b^2 +5 -3b)$
1. $-4b^2 +13b - 13$
2. $-4b^2 +5b - 15$
3. $-4b^2 +5b - 5$
4. $8b^2 +5b - 15$
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
Simplify $(6x^2 + 21x + 9)/(4x^2 - 1)$ to lowest terms.
1. ${3(x + 1)}/ (2x - 1)$
2. ${3(x + 3)}/(2x - 1)$
3. ${3(2x+3)}/{4(x - 1)}$
4. ${3(x + 3)}/(2x + 1)$
Grade 9 Polynomials and Rational Expressions
Find the greatest common factor of $6xyz + 12x^2y - 3yz^2$.
1. $3xy$
2. $6yz$
3. $3y$
4. $2x^2y$
Grade 9 Polynomials and Rational Expressions
The sum or difference of one or more unlike terms.
1. absolute value
2. like terms
3. polynomial
4. exponent
Grade 11 Polynomials and Rational Expressions
Simplify. $(a - 1)/[(a)^2-1]$
1. $1/a, \ a!=0$
2. $1/(a - 1), \ a!= -1$
3. $1/(1- a), \ a!=1$
4. $1/(a + 1), \ a!=1$
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Divide: $(x^2 + 8x + 16)/(x + 3) -: (2x + 8)/(x^2 - 9)$
1. ${2(x + 4)^2}/((x - 3)(x + 3)^2)$
2. ${2(x + 3)(x - 3)}/(x + 4)$
3. $((x + 4) (x - 3))/2$
4. ${(x + 4)(x - 3)^2}/(2(x +3)$
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
Simplify the rational expression.

$(3x(x-3))/((x-3)(x+3))$
1. $(x-3)/x, \ \ x!=-3,3$
2. $(3x)/(x+3), \ \ x!= 3$
3. $(x+3)/(x-3), \ \ x!=-3$
4. $1/(x-3), \ \ x!= -3$
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