Question

factorize
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Answer 1

Answer:

a- x(x + 5 ) -6

b- x( x - 5 ) + 6

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Answer 2

Answer:

1. Given

x2 – 5x + 6

Find out

We need to find the factors of given equation

Solution

Let us try factorizing this polynomial using splitting the middle term method.

Factoring polynomials by splitting the middle term:

In this technique we need to find two numbers ‘a’ and ‘b’ such that a + b =-5 and ab = 6.

On solving this we obtain, a = -3 and b =- 2

Thus, the above expression can be written as:

x2 – 5x + 6

x2 – 3x – 2x + 6

= x(x – 3) – 2(x – 3)

= (x – 3)(x – 2)

Answer

Thus, x- 3 and x – 2 are the factors of the polynomial x2 – 5x + 6.

2.Given equation

x2 + 5x + 6

Let us try factorizing this polynomial using splitting the middle term method.

Factoring polynomials by splitting the middle term:

We need to find two numbers ‘a’ and ‘b’ such that a + b =5 and ab = 6.

On solving this we obtain, a = 3 and b = 2

Thus, the above expression can be written as:

x2 + 5x + 6

= x2 + 3x + 2x + 6

= x(x + 3) + 2(x + 3)

= (x + 3)(x + 2)

Thus, x+3 and x+2 are the factors of the polynomial x2 + 5x + 6.