Rozłóż wielomian na czynniki:
c) 7x⁴+3x³+2x²+3x-5
7x^4 + 3x^3 - 5x^2 + 7x^2 + 3x -5= x^2(7x^2+3x-5) + (7x^2+3x-5) = (x^2+1)(7x^2+3x-5)
i tyle :)
7x⁴+3x³+2x²+3x-5=
=7x⁴+3x³-5x²+7x²+3x-5=
=x²(7x²+3x-5)+1(7x²+3x-5)=
=(x²+1)(7x²+3x-5)=
=(x²+1)[x + (3+√149)/14][x + (3-√149)/14]
---
7x²+3x-5=0
Δ=b²-4ac=9-4*7*(-5)=9+140=149
√Δ=√149
x₁=[-b-√Δ]/2a=[-(3+√149)]/14
x₂=[-b-√Δ]/2a=[-(3-√149)]/14
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7x^4 + 3x^3 - 5x^2 + 7x^2 + 3x -5= x^2(7x^2+3x-5) + (7x^2+3x-5) = (x^2+1)(7x^2+3x-5)
i tyle :)
7x⁴+3x³+2x²+3x-5=
=7x⁴+3x³-5x²+7x²+3x-5=
=x²(7x²+3x-5)+1(7x²+3x-5)=
=(x²+1)(7x²+3x-5)=
=(x²+1)[x + (3+√149)/14][x + (3-√149)/14]
---
7x²+3x-5=0
Δ=b²-4ac=9-4*7*(-5)=9+140=149
√Δ=√149
x₁=[-b-√Δ]/2a=[-(3+√149)]/14
x₂=[-b-√Δ]/2a=[-(3-√149)]/14