Mathematics, 23.07.2019 16:00, ghernadez
What is the complete factorization of the polynomial below? x3 + 8x2 + 19x + 12
Answers: 1
where 
are the coefficients such that 
,
![p(x)=x^3+8x^2+19x+12\\=x^2(x)+8x(x)+19x+12\\=x^2(x+4)+8x(x+4)+19(x+4)-4x^2-32x-76+12\\=(x+4)(x^2+8x+19)-4x^2-32x-64\\=(x+4)(x^2+8x+19)-4x(x+4)-32(x+4)+16x+128-64\\=(x+4)(x^2+8x+19-4x-32)+16(x+4)+64-64\\=(x+4)(x^2+4x-13+16)\\=(x+4)(x^2+4x+3)\\=(x+4)(x^2+3x+x+3)\\=(x+4)\left [ x(x+3)+1(x+3) \right ]\\=(x+1)(x+3)(x+4)](/tpl/images/0124/0087/030d6.png)
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What is the complete factorization of the polynomial below? x3 + 8x2 + 19x + 12...
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