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# Twelfth Grade (Grade 12) Polynomials and Rational Expressions Questions

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Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
$1/(x^2-5x)+x/(x-5)=$
1. $(x^2+1)/(x(x-5))$
2. $(x+1)/(x-5)$
3. $(x-1)/(x-5)$
Grade 12 Polynomials and Rational Expressions CCSS: HSF-IF.C.7c
On $f(x)=2x^5+x^3-3x$
1. $(-0.65,1.4)$ is a relative and absolute maximum.
2. $(0.65,-1.4)$ is a relative and absolute minimum.
3. $(-0.65,1.4)$ is a relative maximum.
4. $(0.65,-1.4)$ is a relative minimum.
5. Both A and B.
6. Both C and D.
7. None of the above.
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.C.4
$(a+b)^2$
Step 1: $(a+b)(a+b)$
Step 2: $a^2+ab+ab+b^2$
Step 3: $a^2+ab^2+b^2$
1. The proof is correct
2. Step 1 has an error
3. Step 2 has an error
4. Step 3 has an error
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
$(x^2-64)/(x(x+8))*x/(x-8)$ =
1. $1 , \ \ x!=-8,0,8$
2. $(x^3-64x)/((x+8)(x-8)), \ \ x!= 0$
3. $(x^2-8)/(x^2-64), \ \ x!= 0$
Grade 12 Polynomials and Rational Expressions
$x^5/2*(9yz)/y^7*(y^3)/(7z)$=
1. $(x^2*9)/(2*y^3)$
2. $(x^5*3)/(7y^4)$
3. $(9x^5)/(14y^3)$
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Simplify $(x+2)/(x-1)+(x-3)/(x+1)$
1. $(x^2-3x+1)/(x^2-x+4)$
2. $(2x-1)/(2x)$
3. $(x^2-x-6)/(x-1)$
4. $(2x^2-x+5)/((x-1)(x+1))$
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Simplify $(x^2+7x+10)/(x^2-x-6)*(x^2-2x-3)/(2x^2+9x-5)$
1. $(x+1)/(2x-1), \ x!= -5, -2, 3$
2. $(2x^2-5x+7)/(3x^2+8x-11), \ x!= -2,3$
3. $2x^2+x-1$
4. $x+2$
Grade 12 Polynomials and Rational Expressions
$(7x^4y^(-3))(3x^(-2)y^7)=$
1. $21x^6y^10$
2. $21x^2y^4$
3. $21x^2y^10$
Grade 12 Polynomials and Rational Expressions CCSS: HSF-IF.C.7c
$f(x)=2x^5+x^3-3x$ is                                                                                               .
1. Increasing on $(-oo,oo)$
2. Decreasing on $(-oo,-0.65)cup(0.65,oo)$ and increasing on $(-0.65,0.65)$
3. Increasing on $(-oo,-0.65)cup(0.65,oo)$ and decreasing on $(-0.65,0.65)$
4. Decreasing on $(-oo,-1.4)cup(1.4,oo)$ and decreasing on $(1.4,-1.4)$
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Simplify $(x-1)/(x+3)*(x+2)/(x-1)$
1. $x^2+5x+6$
2. $(-2)/(x-3), x!=3$
3. $(x^2+x-2)/(x^2+2x-3)$
4. $(x+2)/(x+3), \ x!=1$
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
$4x^3-2x^2+7x+5$ divided by $(x+2)$ is
1. $(4x^2-10x+27)-49/(x+2)$
2. $(4x^2-10x+27)$
3. $(4x^2-10x+27)+59/(x+2)$
4. $(4x^2-10x+27)-59/(x+2)$
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Simplify $(x^2-4x+3)/(x^2+4x-5)+(x^2+4x+3)/(x^2+6x+5)$
1. $(2x)/(x+5), \ x!= -1, 1$
2. $(2x^2+6)/(2x^2+10x), \ x!= 0, -5$
3. $(10(4x^2+3x))/(24x^2-10x-25)$
4. $(6)/(x^2+6x+5) , \ x!= 1$
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.B.2
What is the remainder of $x^2+6x-2$ divided by $x-5$?
1. $-7$
2. $x-53$
3. $53$
4. $-2$
Grade 12 Polynomials and Rational Expressions
$81z^2-x^2$ =
1. $(9z-x)^2$
2. $81(z-x)(z+x)$
3. $(9z-x)(9z+x)$
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Simplify $(x+2)/(x-1)+(x-3)/(x-1)$
1. $(x^2-x-6)/(x^2-2x+1)$
2. $(2x-1)/(x-1)$
3. $x^2-x-6$
4. $-1/2x$
Grade 12 Polynomials and Rational Expressions CCSS: HSF-IF.C.7c
$f(x)=2x^5+x^3-3x$ is                     .
1. Even
2. Odd
3. Both even and odd
4. Neither even nor odd
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
$x^2+14x-6$ divided by $(x+7)$ is
1. $(x+7)+8/(x+7)$
2. $(x+7)+20/(x+7)$
3. $(x+7)-20/(x+7)$
4. $(x+7)$
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.C.4
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.C.4
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.B.2
What is the remainder of $5x^2+2x-8$ divided by $x-3$?
1. $-8$
2. $x-53$
3. $53$
4. $41$
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