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3 years ago

Type the expressions as radicals. q ^ (3/2)

Mathematics

1 answer:

melisa1 [442]3 years ago

5 0

Answer:

$\sqrt{q^3}$

Step-by-step explanation:

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LCM of x<sup>2</sup>+5x+6 and x<sup>2</sup>-x-6 is ………………………

sergejj [24]

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$(x^2 - 9)(x + 2)$

Step-by-step explanation:

Given:

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$x^2 - x - 6$

Required:

LCM of the polynomials

SOLUTION:

Step 1: Factorise each polynomial

$x^2 + 5x + 6$

$x^2 + 3x + 2x + 6$

$(x^2 + 3x) + (2x + 6)$

$x(x + 3) + 2(x + 3)$

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Step 2: find the product of each factor that is common in both polynomials.

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$x^2 + 5x + 6 = (x + 2)(x + 3)$

$x^2 - x - 6 = (x + 2)(x - 3)$

The common factors would be: =>

$(x + 2)$ (this is common in both polynomials, so we would take just one of them as a factor.

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