Question

factorise polynomials - x^3+6x^2+11x+6

Answer 1

Step-by-step explanation:

is it useful to you? please just give me 1 like

Answer 2

$\boxed{\rm{\orange{Solution \longrightarrow }}}$

P(x) = x³ +6x²+ 11x + 6

P(-1) = (-1)³ +6(-1)² + 11(-1) + 6

P(-1) = -1 + 6 - 11 + 6

P(-1) = 12 - 12

P(-1) = 0

(x + 1) is a factor of P(x)

other factor ➵ x² + 5x + 6

➤ x² + 5x + 6

➤ x² + 3x + 2x +6

➤ x (x + 3) + 2(x + 3)

➤ (x + 2) (x + 3)

•Factors of x³ + 6x²+ 11x + 6 are

$\fbox{(x + 1)(x + 2)(x + 3)}</p><p>$