A rational number in its decimal expansion is 0.27575 . What can you say about the prime factors of q, when this number is expressed in the form p/q ? Give reasons. Find the HCF of (6x2+ x –15) and (8x2–32x + 15)

The prime factors of q = 330 are 2, 3, 5 and 11.

HCF of and is 1.

Step-by-step explanation:

First of all, let us convert the given decimal expansion in rational form.

Let Given decimal expansion:

Multiply by 100:

subtracting x from 100x :

So,

Let us make prime factors of q:

The prime factors of q = 330 are 2, 3, 5 and 11.

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Finding HCF of and

Method to find HCF:

First of all, let us factorize them and the common part between the factors of the two will be the HCF.

The factors are (2x -3) and (3x+5)

The quadratic equation can not be factorized as we have factorized .

HCF of the two is 1.