Question

factorise x³ +x² +2x + 8​

Answer 1

Answer: x3+X2+2x+8

Put x=-1

(-1)3+(-1)2+2(-1)+8

-3-2-2+8

-7+8

1

Step-by-step explanation:

Answer 2

Factorise:

Step-by-step explanation:

$\ Given \ value:\\\\x^3+x^2+2x+8 \\\\\ Solution:\\\\\ using \ hit \ and \ trial \ method \ put \ value \ of \ x= \ -2 \ in \\\\\ given \ equation: \\\\\ x = -2 \\\\x +2 =0\\\\\ divide \ the \ given \ equation \ by \ x+2 \ it \ will \ get \ x^2-x+4 \\\\(x+2)(x^2-x+4) =0\\\\x+2=0 .............(i) \\ x^2-x+4 =0.............(ii)\\\\\ compare \ the \ second \ value \ value \ with ax^2+bx+c=0\\\\ a= 1 \\b=-1 \\c=4\\\ fomula:\\\\x= \frac{-b\± \sqrt{b^2-4ac}}{2a}$

$x= \frac{-(-1)\± \sqrt{(-1)^2-4\times 1 \times 4}}{2\times 1} \\\\x= \frac{1\± \sqrt{1-16}}{2} \\\\x= \frac{1\± \sqrt{-15}}{2}$

$\ The \ value \ of \ x= \frac{1\± \sqrt{1-16}}{2} \ \ \ \ \ and - 2$

Learn more:

• Find the value of x: https://brainly.in/question/16147416