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