what is the factor of 3x3 + 5x2 - 16x - 2
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The factor of 3x3 + 5x2 - 16x - 2 is (3x + 2) • (x + 3) • (x - 2)
Explanation:
What is the factor of 3x3 + 5x2 - 16x - 12
Solution:
= [3 • (x^3) + 5x^2) - 16x] - 12
= x^2 ( 3x - 5x) - ( 16 x + 12)
= x^2 ( 3x - 5x ) - 2 ( 8x + 6 )
= (x^2 - 2) ( 3x - 5x ) (8x + 6 )
Or
= [3 • (x^3) + 5x^2) - 16x] - 12
= [(3x^3 + 5x^2) - 16 x] - 12
= [(3x^3 + 5x^2) - 16x] - 12 ( It is not a perfect cube)
= (3x + 2) • (x + 3) • (x - 2)
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