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# Polynomials and Rational Expressions Questions - All Grades

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Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
What is the product $(x + 5)(x^3 - 2x -3)?$
1. $x^4 + 5x^3 - 2x^2 - 7x -15$
2. $x^4 + 5x^3 - 2x^2 - 13x - 15$
3. $x^4 + 5x^3 - 2x^2 - 10x - 15$
4. $x^4 + 5x^3 - 2x^2 - 3x - 15$
Grade 9 Polynomials and Rational Expressions
Combine like terms.
$4x^2 + 5z + 18x^2$
1. $14x^2 + 5z$
2. $22x^2 + 5z$
3. $22x^2 - 5z$
4. $-18x^2 - 5z$
Grade 11 Polynomials and Rational Expressions
Given: $(5x + 6)(8x - 4)$

The product of the given is:
1. $13x + 2$
2. $40x - 24$
3. $40x^2 + 24$
4. $40x^2 - 20x + 48x - 24$
Grade 10 Polynomials and Rational Expressions
Which of the following represents the simplified polynomial expression, given $3x^2y(3x^2y^2+7xy^3-4y^4)$ ?
1. $9x^4y^6+21x^2y^3-12x^2y^4$
2. $6x^2y^2+10x^2y^3-7x^2y^4$
3. $9x^4y^3+21x^3y^4-12x^2y^5$
4. $6x^4y^3+10x^3y^4-7x^2y^5$
Grade 9 Polynomials and Rational Expressions
Subtract: $(4x^2 - 2x + 8) - ( x^2 + 3x - 2)$
1. $3x^2 + x + 6$
2. $3x^2 + x + 10$
3. $3x^2 - 5x + 6$
4. $3x^2 - 5x + 10$
Grade 10 Polynomials and Rational Expressions
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
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
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
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
What is the simplest form of $(3c^2 - 8c + 5) + (c^2 - 8c - 6)$?
1. $3c^2 - 1$
2. $4c^2 + 11$
3. $4c^2 - 16c - 1$
4. $2c^2 - 16c - 1$
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
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
Simplify: $8x^3-4x+3x^3+6x^2-x$
1. $11x^3+6x^2-5x$
2. $11x^3+2x^2-x$
3. $5x^3+8x^2-3x$
4. $5x^3+6x^2+3x$
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
Grade 9 Polynomials and Rational Expressions
Grade 11 Polynomials and Rational Expressions
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. $1/(x-3), \ \ x!= -3$
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
Simplify:
$(xy^-6z^-3)/(x^-4y^-5z)$
1. $(xz)/(x^4y^11z^3)$
2. $(x^4y^4)/(y^6z^3)$
3. $x^5/(yz^4)$
4. $(x^3y^5)/(y^3z^2)$
Grade 9 Polynomials and Rational Expressions
Simplify: 5x + 12x
1. 7x
2. $7x^2$
3. 17x
4. $17x^2$
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