Разложить на множители квадратный трехчлен:
1) X^+17x-18
2) x^-20x-21
3)5x^-13x-6
4) 3x^+x-10
^ - в квадрате
1) X^+17x-18= X^+18x-x-18=(x^-x)+(18x-18)=x(x-1)+18(x-1)=(x-1)(x+18)
2) x^-20x-21= x^-21x+x-21=(x^-21x)+(x-21)=x(x-21)+(x-21)=(x-21)(x+1)
3)5x^-13x-6=5x^-15x+2x-6=(5x^-15x)+(2x-6)=5x(x-3)+2(x-3)=(x-3)(5x+2)
4) 3x^+x-10=3x^+6x-5x-10=(3x^+6x)-(5x+10)=3x(x+2)-5(x+2)=(x+2)(3x-5)
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Answers & Comments
1) X^+17x-18= X^+18x-x-18=(x^-x)+(18x-18)=x(x-1)+18(x-1)=(x-1)(x+18)
2) x^-20x-21= x^-21x+x-21=(x^-21x)+(x-21)=x(x-21)+(x-21)=(x-21)(x+1)
3)5x^-13x-6=5x^-15x+2x-6=(5x^-15x)+(2x-6)=5x(x-3)+2(x-3)=(x-3)(5x+2)
4) 3x^+x-10=3x^+6x-5x-10=(3x^+6x)-(5x+10)=3x(x+2)-5(x+2)=(x+2)(3x-5)