Question

5. Show that [x+2] is a factor of x³ - 4x²–2x+2
please the answer ​

Answer 1

Step-by-step explanation:

f(x)=x³-4x²-2x+2

f(-2)=(-2)³-4(-2)²-2(-2)+2

=-8-4(4)+4+2

=-8-16+6

=-18

f(-2) is a non zero number

so it is not a factor of given polynomial

Answer 2

$\sf\underline{Required \: \: \: Answer}$

Given

• x³ - 4x²–2x+2
• Possible Factor = (x + 2)

Checking Using Factor Theorem

f(x) = x³ - 4x²–2x+2

f(-2) = (-2)³ - 4(-2)² - 2(-2) + 2

f(-2) = (-8) - 4(4) - (-4) + 2

f(-2) = (-8) - 16 + 4 + 2

f(-2) = -24 + 6

f(-2) = -18

x + 2 is not a factor of x³ - 4x²–2x+2

#CarryOnLearning