Factor x³ - 4x² + 7x - 28 by grouping. What is the resulting expression?

Solution:

The given expression is

x³ - 4x² + 7x - 28

Taking x² as common in the first two terms and 7 as common in the last two terms

= x²(x - 4) + 7(x - 4)

So we get

= (x² + 7)(x - 4)

Therefore, the resulting expression is (x² + 7) (x - 4).

Example - Factor x³ - 2x² + 4x - 8 by grouping. What is the resulting expression?

Solution:

The given expression is

x³ - 2x² + 4x - 8

Taking x² as common in the first two terms and 4 as common in the last two terms

= x² (x - 2) + 4 (x - 2)

So we get

= (x² + 4) (x - 2)

Therefore, the resulting expression is (x² + 4) (x - 2).

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Factor x³ - 4x² + 7x - 28 by grouping. What is the resulting expression?

Summary:

Factor x³ - 4x² + 7x - 28 by grouping. The resulting expression is (x² + 7) (x - 4).