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margo445
@margo445
July 2022
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Разложите на множители квадратный трехчлен:
1)-5x^2+4x+1
2)-21x^2+x+2
3)-12x^2+7x-1
4)27x^2-6x-1
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Kokakz
1)-5x^2+4x+1=-5x^2=5x-x+1=-5x(x-1)-(x-1)=(-5x-1)(x-1)
2)-21x^2+x+2=-21x^2+7x-6x+2=-7x(3x-1)-2(3x-1)=(-7x-2)(3x-1)
3)-12x^2+7x-1=-12x^2+4x+3x-1=-4x(3x-1)+3x-1=(-4x+1)(3x-1)
4)27x^2-6x-1=27x^2-6x-1=27x^2+3x-9x-1=3x(9x+1)-(9x+1)=(3x-1)(9x+1)
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Answers & Comments
2)-21x^2+x+2=-21x^2+7x-6x+2=-7x(3x-1)-2(3x-1)=(-7x-2)(3x-1)
3)-12x^2+7x-1=-12x^2+4x+3x-1=-4x(3x-1)+3x-1=(-4x+1)(3x-1)
4)27x^2-6x-1=27x^2-6x-1=27x^2+3x-9x-1=3x(9x+1)-(9x+1)=(3x-1)(9x+1)