WORKSHEET ON DIVIDING RATIONAL EXPRESSIONS

Problem 1 :

Simplify :

Problem 2 :

Simplify :

Problem 3 :

Simplify :

Problem 4 :

Simplify :

Problem 5 :

Find the value of x²y^-2.

Problem 6 :

If a polynomial p(x) = x² - 5x - 14 is divided by another polynomial q(x), we get (x - 7)/(x + 2). Find q (x).

Answers

1. Answer :

2a² + 5a + 3 =  (a + 1)(2a + 3)

2a² + 7a + 6 = (2a + 3)(a + 2)

a² + 6a + 5 = (a + 1)(a + 5)

-5a² - 35a - 50 = -5(a² + 7a + 10) = -5(a + 2)(a + 5)

2. Answer :

b² + 3b - 28 = (b - 4)(b + 7)

b² + 4b + 4 = (b + 2)(b + 2)

b² - 49 = b² - 7² = (b - 7)(b + 7)

b² - 5b - 14 = (b - 7)(b + 2)

3. Answer :

4. Answer :

12t² - 22t + 8 = 2(6t² - 11t + 4) = 2(3t - 4)(2t - 1)

3t² + 2t - 8 = (t + 2)(3t - 4)

2t² + 4t = 2t(t + 2)

5. Answer :

6. Answer :

Take reciprocal on both sides.

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