Find the factors of the following expressions-2 2 x2-4 x3-2 x-1

2x2 + 4x3 + 2x + 1 We can factorise this expression as: nbsp; 2x2 + 4x3 + 2x + 1 = (2x2 + 4x3) + (2x + 1) = 2x2 (1 + 2x) + 1 (2x + 1) = 2x2 (2x + 1) + 1 (2x ...

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Standard IX

Mathematics

Algebraic Identities

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Question

Find the factors of the following expressions:

(2) 2x² + 4x³ + 2x + 1

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Solution

2x² + 4x³ + 2x + 1
We can factorise this expression as:
2x² + 4x³ + 2x + 1
= (2x² + 4x³) + (2x + 1)
= 2x² (1 + 2x) + 1 (2x + 1)
= 2x² (2x + 1) + 1 (2x + 1)
= (2x + 1) (2x² + 1)

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Find the factors of the following expressions: (2) 2x2 + 4x3 + 2x + 1

2x2 + 4x3 + 2x + 1 We can factorise this expression as: 2x2 + 4x3 + 2x + 1 = (2x2 + 4x3) + (2x + 1) = 2x2 (1 + 2x) + 1 (2x + 1) = 2x2 (2x + 1) + 1 (2x + 1) = (2x + 1) (2x2 + 1)

Find the factors of the following expressions:

(2) 2x² + 4x³ + 2x + 1

2x² + 4x³ + 2x + 1
We can factorise this expression as:
2x² + 4x³ + 2x + 1
= (2x² + 4x³) + (2x + 1)
= 2x² (1 + 2x) + 1 (2x + 1)
= 2x² (2x + 1) + 1 (2x + 1)
= (2x + 1) (2x² + 1)