Factorization 4

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1. Factor completely

2x2 – 20x + 50

Solution: 2x2 – 20x + 50

= 2(x2 – 10x +25)

= 2(x2 – 2*x*5 + 52)

= 2(x – 5)2

= 2(x-5)(x-5)


2. Factor completely.

x4 – 14x3 + 48x2

Solution: x4 – 14x3 + 48x2

= x2(x2 – 14x + 48)

= x2(x2 -8x – 6x + 48)

= x2[x(x -8) – 6(x - 8)]

= x2(x - 8)(x - 6)


3. Factor completely.

x2 – x - 45

Solution: It cannot be factored. Hence it is a prime

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