The completely factored expression of 12x⁴ + 39x³ + 9x² is 3x²(4x + 1)(x + 3)
How to factor the expression?
The polynomial expression is given as;
12x⁴ + 39x³ + 9x²
Factor out 3x² from the expression
3x²(4x² + 13x + 3)
Expand
3x²(4x² + 12x + x + 3)
Factorize the expression
3x² * 4x(x + 3) + 1(x + 3)
Factor out x + 3
3x²(4x + 1)(x + 3)
Hence, the completely factored expression of 12x⁴ + 39x³ + 9x² is 3x²(4x + 1)(x + 3)
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