Find the least common multiple of x2 – 2x – 15 and x2 + 2x – 3.

(x + 5)(x + 3)(x + 1)
(x – 5)(x + 1)(x + 3)
(x – 5)(x + 3)(x – 1)
(x + 3)(x – 1)(x + 5)
z varies inversely with the product of x and y. When x = 2 and y = 4, z = 0.5

What is the value of z when x = 4 and y = 9?

40
1/9
45/2
40/9



Answer :

x² - 2x - 15 ⇒ x² - 5x + 3x - 5 ⇒ (x + 3)(x - 5)   LCM: (x + 3)
x² + 2x - 3  ⇒ x² + 3x - x - 3   ⇒ (x - 1)(x + 3)

The value of z is 40.

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