Question

44. Descompuneți în factori: ​

Answer 1

Răspuns:

$a) x^{2} -4x-5=x^{2} +x-5x-5=x(x+1)-5(x+1)=(x+1)(x-5)\\b) x^{2} -5x-14=x^{2} +2x-7x-14=x(x+2)-7(x+2)=(x+2)(x-7)\\c)x^{2} +11x-12=x^{2} +12x-x-12=x(x+12)-(x+12)=(x+12)(x-1)\\d) x^{2} -x-2=x^{2} +x-2x-2=x(x+1)-2(x+1)=(x+1)(x-2)\\e)x^{2}+3x-10 =x^{2} +5x-2x-10=x(x+5)-2(x+5)=(x+5)(x-2)\\f)x^{2} -6x-27=x^{2} +3x-9x-27=x(x+3)-9(x+3)=(x+3)(x-9)\\g)x^{2} +2x-35=x^{2} +7x-5x-35=x(x+7)-5(x+7)=(x+7)(x-5)\\h)x^{2} -6x-16=x^{2} +2x-8x-16=x(x+2)-8(x+2)=(x+2)(x-8)$

$i)x^{2} -9x-52=x^{2} +4x-13x-52=x(x+4)-13(x+4)=(x+4)(x-13)$