Question

Dau coroana si 20 de puncte...am nevoie urgent !!​

Answer 1

2.a)x^2 +3x+2.......3x=x+2x

=(x^2+x)+(2x+2)

=x(x+1)+2(x+1)

=(x+1)(x+2)

b)x^2+5x+6.....5x=2x+3x

=(x^2+2x)+(3x+6)

=x(x+2)+3(x+2)

=(x+2)(x+3)

c)x^2+7x+12....7x=3x+4x

=(x^2+3x)+(4x+12)

=x(x+3)+4(x+3)

=(x+3)(x+4)

d)x^2+7x+10...7x=2x+5x

=(x^2+2x)+(5x+10)

=x(x+2)+5(x+2)

=(x+2)(x+5)

e) x^+9x+20....9x=4x+5x

=(x^2+4x)+(5x+20)

=x(x+4)+5(x+4)

=(x+4)(x+5)

f)x^2+12x+27...12x=3x+9x

=(x^2+3x)+(9x+27)

=x(x+3)+9(x+3)

=(x+3)(x+9)

g)x^2+8x+15.... 8x=3x+5x

=(x^2+3x)+(5x+15)

=x(x+3)+5(x+3)

=(x+3)(x+5)

h)x^2+11x+30... 11x=5x+6x

=(x^2+5x)+(6x+30)

=x(x+5)+6(x+5)

=(x+5)(x+6)

i)x^2+9x+14...9x=2x+7x

=(x^2+2x)+(7x+14)

=x(x+2)+7(x+2)

(x+2)(x+7)

3. a) x^2-3x+2...-3x=-1x+(-2x)

=x^2-1x-2x+2

=x(x-1)+2(-x+1)

=(x-1)(x+2)

b)x^2-6x+8...-6x=-2x+(-4x)

=x^2-2x+(-4x)+8

=x(x-2)+4(-x+2)

=(x-2)(x+4)

c) x^-4x+3....-4x=-3x+(-1x)

=x(x-3)+1(-x+3)

=(x-3)(x+1)

d)x^2-5x+6...-5x=-2x-3x

=x(x-2)+3(-x+2)

=(x-2)(x+3)

e)x^2-7x+12...-7x=-6x+(-1x)

=x(x-1)+12(-x+1)

=(x-1)(x+12)

f)x^2-7x+10...-7x=-5x+(-2x)

=x(x-5)+2(-x+5)

=(x-5)(x+2)

g)x^2-9x+20...-9x=-4x+(-5x)

=x(x-4)+5(-x+4)

=(x-4)(x+5)

h)x^2-8x+7...-8x=-7x+(-1x)

=x(x-7)+1(-x+7)

(x-7)(x+1)