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# Tenth Grade (Grade 10) Polynomials and Rational Expressions Questions

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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 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 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 10 Polynomials and Rational Expressions
Simplify: $(2(x^(-1) y^4 )^(2) (xy)^-1)/((2x)^3 y^(-4) )$
1. $(y^11)/(2x^6)$
2. $(2y^10)/(3x^7 )$
3. $x/2$
4. $(x^6)/(2y^4)$
5. none of these are correct
Grade 10 Polynomials and Rational Expressions
Grade 10 Polynomials and Rational Expressions
The expression $ab+3c-3b-ac$ is equal to
1. $(a+3)(c-b)$
2. $(a+3)(b-c)$
3. $(a-3)(b+c)$
4. $(a-3)(b-c)$
Grade 10 Polynomials and Rational Expressions
Simplify. $(x - y)/(x^2 - 2xy + y^2)$
1. $x + y$
2. $xy$
3. $1/(x-y)$
4. $x - y$
Grade 10 Polynomials and Rational Expressions
Multiply and simplify: $(x-1)(x^2-x+1)$
1. $x^3+1$
2. $x^3-1$
3. $-x^3+2x^2-2x+1$
4. $x^3-2x^2+2x-1$
5. None of these are correct
Grade 10 Polynomials and Rational Expressions
What type of polynomial has only one term?
1. monomial
2. binomial
3. trinomial
4. polynomial
Grade 10 Polynomials and Rational Expressions
What type of polynomial has three terms?
1. monomial
2. binomial
3. trinomial
4. polynomial
Grade 10 Polynomials and Rational Expressions
Grade 10 Polynomials and Rational Expressions
Simplify: $((4x+2)!)/((4x)!)$
1. 2!
2. (x + 2)!
3. (4x + 2) (4x + 1)
4. (4x - 1)!
5. none of these are correct
Grade 10 Polynomials and Rational Expressions
What type of polynomial has two terms?
1. monomial
2. binomial
3. trinomial
4. polynomial
Grade 10 Polynomials and Rational Expressions
$x(8x - 5y) - x(x - 6y) - 3x(3 + 3y)$
1. $9x^2 +15xy -14x$
2. $7x^2 - 8xy - 9x$
3. $9x^2 +xy - 18x$
4. $7x^2 + 8xy - 9x$
Grade 10 Polynomials and Rational Expressions
Grade 10 Polynomials and Rational Expressions
Factor: $25x^2y^4 + 40x^3 y^2$
1. $5x^2y^2(5y^2 + 8x)$
2. $5x^3y^4(5xy + 8y)$
3. $8x^2y^2(3x^2y - 3y^2)$
4. $4x^2y^2(6y^2 + 10x^3)$
Grade 10 Polynomials and Rational Expressions
$7x-2[3x(x-y)+6x]$
1. $11x-6y$
2. $-11x+6y$
3. $7x+6y$
4. $-6x^2-5x+6xy$
Grade 10 Polynomials and Rational Expressions
Factor By Grouping:
$15x^3-6x^2-25x+10$
1. $(5x-5)(3x^2-2)$
2. $(x-2)(15x^2-5)$
3. $(15x-2)(x^2-5)$
4. $(5x-2)(3x^2-5)$
Grade 10 Polynomials and Rational Expressions
$c/a+3/4 =$
1. $(4c+3a)/(4a)$
2. $(3c+4a)/(4a)$
3. $((c+a)4)/(4a)$
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
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