Question

Find out whether X + 2 is a factor of x³+x²-5x-2 or not

Answer 1

Answer:

To check that x - 2 is the factor of x³ - 2x²

5x + 4:

The value of x - 2 = 0 = x = 2.

So, put x = 2 in expression, we get,

f(x)= x³ 2x² - 5x+4 -

f(2)= (2)³ 2(2)² - 5(2) +4

⇒f(2)=8-2x4-5x2+4

f(2)=8-8-10 + 4

f(2)= -6.

Remainder is not 0, when x - 2 divides the polynomial x³ - 2x² - 5x + 4.

Thus x - 2 is not a factor of polynomial x³ -

2x² - 5x + 4.

Answer 2

Answer:

No

Step-by-step explanation:

p(x) = x³+x²-5x-2

If x+2 is a factor of P(x) then,

x+2 =0

•°• x= -2

put x= -2 in p(x)

p(x) = x³+x²-5x-2

p(-2) = (-2)³+(-2)²-5(-2)-2

p(-2) = -8+4+10-2

p(-2) = -10+14

p(-2) = 4

on putting x= -2 in p(x) answer is not equal to 0 .

therefore , x+2 is not a factor of p(x).