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  • Rational expressions
  • Operations with Rational Expressions
  • Reducing Rational Expressions

Reducing Rational Expressions

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  • Question 1:
    1 pts
    		Determine the value of the variable for which the rational expression is not defined. 60x312x\dfrac{60x^{3}}{12x}
    x=0x = 0
    x=30x = 30
    x=3x=3
    x=12x=12
  • Question 2:
    1 pts
    		−x−2x−3=2−xx−3-\dfrac{x-2}{x-3}=\dfrac{2-x}{x-3}
  • Question 3:
    1 pts
    		z−57−z=5−z7−z\dfrac{z-5}{7-z}=\dfrac{5-z}{7-z}
  • Question 4:
    1 pts
    		Simplify expression. 32n224n\dfrac{32n^{2}}{24n}
    3n2\dfrac{3n}{2}
    2n3\dfrac{2n}{3}
    3n4\dfrac{3n}{4}
    4n3\dfrac{4n}{3}
  • Question 5:
    2 pts
    		Simplify expression. 15a−324\dfrac{15a-3}{24}

    3a−18\dfrac{3a-1}{8}

    4a−12\dfrac{4a-1}{2}

    5a−18\dfrac{5a-1}{8}

    5a−16\dfrac{5a-1}{6}

  • Question 6:
    2 pts
    		Simplify expression. x2−16x−4\dfrac{x^{2}-16}{x-4}
    x+2x+2
    x−2x-2
    x−4x-4
    x+4x+4
  • Question 7:
    2 pts
    		Simplify the expression. j+8j2−64\dfrac{j+8}{j^{2}-64}

    1j+8\dfrac{1}{j+8}

    1j−8\dfrac{1}{j-8}

    18−j\dfrac{1}{8-j}

    8−j1\dfrac{8-j}{1}

  • Question 8:
    2 pts
    		Simplify the expression. 4n−46n−20\dfrac{4n-4}{6n-20}
    2⋅(n−1)3n−10\dfrac{2 \cdot (n-1)}{3n-10}
    n−13n−10\dfrac{ n-1}{3n-10}
    (n−1)2⋅(3n−10)\dfrac{ (n-1)}{2 \cdot (3n-10)}
    2n−13n−10\dfrac{ 2n-1}{ 3n-10}
  • Question 9:
    3 pts
    		Simplify expression. x3−x2−42x2x2−20x+42\dfrac{x^{3}-x^{2}-42x}{2x^{2}-20x+42}
    3⋅(x−6)2⋅(x−3)\dfrac{ 3 \cdot(x-6)}{2 \cdot (x-3)}
    x⋅(x−6)2⋅(x+3)\dfrac{ x \cdot(x-6)}{2 \cdot (x+3)}
    x⋅(x+6)2⋅(x−3)\dfrac{ x \cdot(x+6)}{2 \cdot (x-3)}
    x⋅(x−6)2⋅(x−3)\dfrac{ x \cdot(x-6)}{2 \cdot (x-3)}
  • Question 10:
    3 pts
    		Which values of yy make the expression undefined? 3y2−39y+90y2−3y−70 \dfrac{3y^{2}-39y+90}{y^{2}-3y-70}

    y=−7y = -7 and y=10y=10

    y=7y = 7 and y=10y=10

    y=−7y = -7 and y=−10y=-10

    y=−7y = -7 and y=−10y=-10

  • Question 11:
    3 pts
    		Simplify the expression. k2−y23k+3y\dfrac{k^{2}-y^{2}}{3k+3y}
  • Question 12:
    1 pts
    		The domain of the rational expression 5x2x2+8 \frac{5x}{2x^{2}+8} is all x.x.

Basics of polynomials

Polynomials Operations

Roots of polynomials

Factoring Polynomials

Graphing Polynomials

Rational exp. operations