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.

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