Factorization 1

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Factor completely.

1. 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)

2. x² – x - 45

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