Question

\(a) x^2-4x+3\)

\(b)x^2+5x+4\)

Answer 1

`a,x^2 -4x+3`

`=x^2 -x-3x+3`

`=x(x-1)-3(x-1)`

`=(x-1)(x-3)`

`b,x^2 +5x+4`

`=x^2 +x+4x+4`

`=x(x+1)+4(x+1)`

`=(x+1)(x+4)`

Answer 2

`a)`

\(x^2-4x+3\\ =x^2-x-3x+3\\ =x\left(x-1\right)-3\left(x-1\right)\\ =\left(x-3\right)\left(x-1\right)\)

`b)`

\(x^2+5x+4\\ =x^2+x+4x+4\\ =x\left(x+1\right)+4\left(x+1\right)\\ =\left(x+4\right)\left(x+1\right)\)

Answer 3

a) x² - 4x + 3 = x² - x - 3x + 3 = x(x - 1) - 3(x - 1) = (x - 1)(x - 3)

b) x² + 5x + 4 = x² + x + 4x + 4 = x(x + 1) + 4(x + 1) = (x + 1)(x + 4)

Answer 4

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

\(=x(x-1)-3(x-1)\)

\(=(x-1)(x-3)\)

\(-----------------\)

\(=x^2+x+4x+4\)

\(=x(x+1)+4(x+1)\)

\(=(x+1)(x+4)\)