Question

(1) x + 3x2 - 16x + 12​

Answer 1

3x² + x - 16x + 12

3x² - 15x + 12

Simplifying by 3

x² - 5x + 4

x² - x - 4x + 4

x ( x - 1 ) - 4 ( x - 1 )

( x - 1 ) ( x - 4 )

Answer 2

$\huge\tt{\underline{\red{a{\green{n{\pink{s{\blue{w{\purple{e{\orange{r}}}}}}}}}}}}}$

$1) \: x + 3 {x}^{2} - 16x + 12 \\ \\ = 3 {x}^{2} - 16x + x + 12 = 0 \\ \\ = 3 {x}^{2} - 15x + 12 = 0 \\ \\ (\tt{dividing \: the \: eq \: by \: 3}) \\ \\ = {x }^{2} - 5x + 4 \\ \\ = {x }^{2} - 4x - x + 4 \\ \\ = x(x - 4) - 1(x - 4) \\ \\ = (x - 4)(x - 1)$

$\\ \\ \implies\tt{\green{\underline{\underline{\underline{\underline{\underline{\underline{\underline{\underline{therefore \: x = 1 \: or \: 4}}}}}}}}}}$