4x2 + 7x - 28 By Grouping. What Is The Resulting Expression?

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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).

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).

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