Question

Please factories:-
4x⁴+3x²+1​

Answer 1

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Factories:-

4x⁴+3x²+1

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➪ 4x⁴+3x²+1

➪ 4x⁴ + 4x² - x² + 1

➪ 4x² ( x² + 1 ) - 1 ( x² + 1 )

➪ ( 4x² - 1 ) ( x² + 1 )

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For finding value of x

❥( 4x² - 1 )

❥ 4x² = 1

$❥ x² = \frac{1}{4}$

$❥ x = \frac{1}{2}$

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➺ ( x² + 1 )

➺ x² = -1

➺ x = √-1

➺ x = -1

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So here the value for x can be -1 or 1/2.

Answer 2

Step-by-step explanation:

4x⁴+3x²+1

➪ 4x⁴ + 4x² - x² + 1

➪ 4x² ( x² + 1 ) - 1 ( x² + 1 )

➪ ( 4x² - 1 ) ( x² + 1 )

Zeroes are -1 and 1/2