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# Polynomials and Rational Expressions Questions - All Grades

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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
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
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
Simplify: $2x^2+5+4x^2-3$
1. $2x^2-2$
2. $-2x^2+2$
3. $6x^2+2$
4. $6x^2+8$
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 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 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
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
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 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 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 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 9 Polynomials and Rational Expressions
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 9 Polynomials and Rational Expressions
Grade 9 Polynomials and Rational Expressions
Simplify: 5x + 12x
1. 7x
2. $7x^2$
3. 17x
4. $17x^2$
Grade 9 Polynomials and Rational Expressions
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