Question

Rozloz na czynniki
4x3+8x2+3x+6

2x3-5x2-6x+15

Potrzebuje za 15 min blagam

Answer 1

4x³+8x²+3x+6 = 4x²(x+2)+3(x+2) = (x+2)(4x²+3)

2x²-5x²-6x+15 = x²(2x-5) - 3(2x-5) = (2x-5)(x²-3)= (2x-5)(x-√3)(x+√3)

Answer 2

4x³+8x²+3x+6=
4x²(x+2)+3(x+2)=
(4x²+3)(x+2)
_______________

2x³-5x²-6x+15=
2x(x²-3)-5(x²-3)=
(2x-5)(x²-3)=
(2x-5)(x²-√3²)=       ze wzoru a²-b²=(a-b)(a+b)
(2x-5)(x-√3)(x+√3)

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