Question

factorize the polynomial 3x^3+5x^2-11x+3..........................................................I WILL MARK AS BRAINLIEST

Answer 1

Question:

Factorize the polynomial

$3 {x}^{3} + 5 {x}^{2} - 11x + 3$

Answer:

$\underline{ \: \sf \pink{\bf{(x - 3)(x + 1) (3x + 1)}} \: } \: is \: the \: answer.$

Given:

★ A polynomial is given,

$\sf3 {x}^{3} + 5 {x}^{2} - 11x + 3$

Step-by-step explanation:

$3 {x}^{3} + 5 {x}^{2} - 11x + 3$

$\longrightarrow 3 {x}^{3} - 9 {x}^{2} + 4 {x}^{2} - 12 x + x - 3$

$\longrightarrow 3 {x}^{2} (x - 3) + 4x(x - 3) + 1(x - 3)$

$\longrightarrow (x - 3)(3 {x}^{2} + 4x + 1)$

$\longrightarrow (x - 3)(3 {x}^{2} + 3x + x + 1)$

$\longrightarrow (x - 3)\big[3x(x + 1) + 1(x + 1)\big]$

$\longrightarrow \boxed{(x - 3)(x + 1) (3x + 1)}$

$\therefore \underline{ \: \bf{(x - 3)(x + 1) (3x + 1)} \: } \: is \: the \: answer.$