Question

what is the factor of 3x3 + 5x2 - 16x - 2​

Answer 1

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)