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Eleventh Grade (Grade 11) Polynomials and Rational Expressions Questions

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Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.7

Simplify.

$\ (x^2+7x+10)/(x^2-x-6)*(x^2-2x-3)/(2x^2+9x-5)$

$(x+1)/(2x-1), \ x!= -5, -2, 3$
$(2x^2-5x+7)/(3x^2+8x-11), \ x!= -2,3$
$2x^2+x-1$
$x+2$

Grade 11 Polynomials and Rational Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a

Factor the polynomial

$8v^2+29v+15$ completely.

$(8v+5)(v+3)$
$(8v+5)(v-3)$
$(8v-5)(v+3)$
$(8v-5)(v-3)$

Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.6

Use synthetic division to divide the polynomials:

$(z^3-8)/(z-2)$ .

$z^2-2z+4$
$z^2+4z+4$
$z^2+2z+4$
$z^2+2z-4$

Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.6

Use synthetic division to divide the polynomials:

$(8x^3+6x^2+7) ÷ (x + 2)$ .

$8x^2-10x+20+(-33)/(x+2)$
$8x^2-10x+20+(33)/(x+2)$
$-8x^2+10x-20+(-33)/(x+2)$
$8x^2-10x-20-(-33)/(x+2)$

Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.6

Use synthetic division to divide the polynomials:

$(x^2+7x+7)/(x+3)$ .

$(x+4)/(x+3)$
$x+5$
$x+4+(5)/(x+3)$
$x+4+(-5)/(x+3)$

Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.6

Use synthetic division to divide the polynomials:

$(x^3+12x^2+20x-96)/(x-2)$ .

$x^2+14x+8+(-4)/(x-2)$
$x^2+14x+48$
$x^3+8+(-4)/(x-2)$
$x^2+8x+48$

Grade 11 Polynomials and Rational Expressions

$3f^2 - f - 7f^4$

trinomial
binomial
monomial
none of the above

Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.7

Simplify.

$\ (x-1)/(x+3)*(x+2)/(x-1)$

$x^2+5x+6$
$(-2)/(x-3), x!=3$
$(x^2+x-2)/(x^2+2x-3)$
$(x+2)/(x+3), \ x!=1$

Grade 11 Polynomials and Rational Expressions

What are the restrictions on

$x$ for the expression

$(x-4)/(x^2-x-12)$ ?

$x != 4, -3$
$x != -4, 3$
$x != -3$
$x != 3$

Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.B.2

Which of the following are factors of the polynomial

$p(x) = 2x^4-x^3-17x^2+25x-6 ?$ There may be more than one answer.

$2x-3$
$x-5$
$3x-4$
$x-2$

Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.B.2

$x-2$ is a factor of polynomial

$p(x) = 8x^4 + 6x^3 - ax^2 - 13x + 30$ , what is the value of

$a ?$

Not enough information
34
45
180

Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.6

Use long division or synthetic division to divide the polynomials:

$(x^2-4)-:(x+4)$ .

$x-4$
$x+4+(12)/(x+4)$
$x-4+(12)/(x+4)$
$x+4$

Grade 11 Polynomials and Rational Expressions

Find the LCD for rational expression

$1/(7x)+1/(x)$ .

$7x$
$x$
$7$
$7x^2$

Grade 11 Polynomials and Rational Expressions

Find the LCD for the rational expression

$9/(a^3)-7/(a)$ .

$a^3$
$a^2$
$a$
$1$

Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.6

What is the quotient of

$(x^3 - 3x^2 + 4x - 6) and (x - 2)?$

$x^2 - x + 2$
$x^2 - x + 3$
$x^2 - x + 2 + (2)/(x - 2)$
$x^2 - x + 2 - (2)/(x - 2)$

Grade 11 Polynomials and Rational Expressions

What property is taking place in the following example?

Given:

$3x^2 - 4x -12, \ \ \ x=3$

$3(3)^2 - 4(3) - 12$

$3(9) - 12 -12$

$27 - 24$

$3$

Associative Property
Isosceles Property
Distribution Property
Substitution Property

Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.6

When

$2x^3 +3x^2 -2x+3$ is divided by

$2x-1$ , what is the remainder?

$0$
$1/2$
$3$
$6$

Grade 11 Polynomials and Rational Expressions

$k^2 - 196$

$(k + 14)(k - 14)$
$(k - 28)(k + 2)$
$(k + 14)(k + 14)$
$(k - 14)(k - 14)$

Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.7

Simplify.

$(x^2-64)/(x+7)*(x^2+15x+56)/(x-8)$

$x+8, \ x!=-7,8$
$x-8, \ x!=-7,8$
$(x+8)^2, \ x!=-7,8$
$(x-8)^2, \ x!=-7,8$

Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.C.5

Approximate

$1.04^5$ with the Binomial Theorem, using only the first 3 terms of the expansion, by rewriting

$1.04$ as

$1 + 0.04$ .

0.016
1.2
1.216
1.21664

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Eleventh Grade (Grade 11) Polynomials and Rational Expressions Questions