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# Polynomials and Rational Expressions Questions - All Grades

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Grade 10 Polynomials and Rational Expressions
Match each factored expression with its corresponding expanded form.
 __ $2(x-5)^2$ A. $3x^3-27x^2$ __ $3x^2(x-9)$ B. $2x^2 + 2x-24$ __ $2(x+4)(x-3)$ C. $x^3-x^2-5x+5$ __ $(x^2-5)(x-1)$ D. $2x^2 -20x+50$
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1

$(3x^2+3x+1) + (x^2+x+5)$
1. $4x^2+4x+6$
2. $3x^2-2x+4$
3. $4x^2-4x-6$
4. $2x^2+2x-4$
Grade 11 Polynomials and Rational Expressions
Factor the following polynomial.

$x^3-x^2-8x+12$
1. $(x+3)(x-2)^2$
2. $(x+3)(x-2)(x+1)$
3. $(x-3)(x+1)(x-5)$
4. $(x-1)(x-2)(x+4)$
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Multiply. Simplify if possible. $(2x^2)/5*25/x^3$
1. $(2x^2 + 25)/(5x^3)$
2. $(2x^5)/(125), \ \ x!=0$
3. $10/x$
4. $x/10, \ \ x!=0$
Grade 9 Polynomials and Rational Expressions
Which of the following best classifies $5a^4+7a^3-2a ?$
1. Cubic polynomial
2. Quartic binomial
3. Quartic trinomial
4. Quintic polynomial
Grade 9 Polynomials and Rational Expressions
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
$(4a^2 + b^2 + a - 5c + 7) + (c^2 - 5 + a - 3b^2 - 6a^2)$
1. $4a^2 -3b^2 -4c^2 + 2a + 7$
2. $10a^2 + 4b^2 +c^2 + 2a + 5c + 12$
3. $4a^2c^2 + ab^2 - 8b^2c - a^2 - 5a$
4. $-2a^2 - 2b^2 + c^2 + 2a - 5c + 2$
Grade 10 Polynomials and Rational Expressions
Given: $(5x + 6)(8x - 4)$

What is the product of the given?
1. $13x + 2$
2. $40x - 24$
3. $40x^2 + 24$
4. $40x^2 - 20x + 48x - 24$
Grade 9 Polynomials and Rational Expressions
Grade 9 Polynomials and Rational Expressions
What is the best classification of the polynomial $6 ?$
1. Constant monomial
2. Constant binomial
3. Linear monomial
4. This is not a polynomial.
Grade 9 Polynomials and Rational Expressions
Grade 9 Polynomials and Rational Expressions
$10z+6$ is best classified as which of the following?
1. Linear monomial
2. Linear binomial
Grade 9 Polynomials and Rational Expressions
Grade 9 Polynomials and Rational Expressions
A monomial is
1. an expression with 1 term.
2. an expression with 2 terms.
3. an expression with 3 terms.
4. an expression with more than 3 terms.
Grade 9 Polynomials and Rational Expressions
Which expression is not considered a polynomial?
1. $x^4+2x^2+1$
2. $x^2 + 2^x$
3. $x^3 -.5x^2 - 1$
4. $4$
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Subtract the polynomials.
$(-3z^2 + 9z -4) - (4z^2 -5 + z)$
1. $-7z^2 + 8z +1$
2. $-z^2 + 8z - 9$
3. $z^2 + 10z -9$
4. $7z^2 +4z -3$
Grade 9 Polynomials and Rational Expressions
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
$(5z^2 - 4z + 4) + (-3z - z^2 + 5)$
1. $2z^2 - 5z + 9$
2. $6z^2 + 7z + 9$
3. $8z^2 + 5z + 9$
4. $4z^2 - 7z + 9$