Question

Integer type questions :
15.
The factors of polynomial 4x2 - 16x + 15 is (2x - a) & (2x - b) then a - b is​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

Explanation:

I'm going to explain this using the most common method of factorising: by splitting the middle term.

The first step is to multiply the coefficient of x2 with the constant. We get:

4⋅15=60

Now, we need to find the pair of factors of 60 whose sum or difference will give us the coefficient of x, i.e., 16.

60 has the following pairs of factors:

(1,60),(2,30),(3,20),(5,12),(6,10)

With a quick glance, it's clear that the sum of the factors in the pair (6,10) is 16.

Great! So now we split the coefficient of middle term (16) as a sum of 6 and 10 as:

4x2+(6+10)x+15

4x2+6x+10x+15

Note: It doesn't matter if you reverse the order and split 16x as 10x+6x, you'll get the same result!

Now, we must take out common factors from the first two terms and then the next two terms:

2x(2x+3)+5(2x+3)

Now, we can take (2x+3) to be common, to get:

(2x+3)(2x+5)

and voila, that's the factored expression