Question

check weather (x+2) is a factor of x3-2x2-5x+4

Answer 1

Answer:

Step-by-step explanation:

Go through the following answer

And of course it’s solved by me

Answer 2

Answer:

$\tt \large \implies \red{ \boxed 8}$

Step-by-step explanation:

Question:-

• check weather (x+2) is a factor of x^3-2x^2-5x+4

Assume:-

p(x) = x^3-2x^2-5x+4

Now first we find the value of x

→x+2=0

→ x = 0-2

→ x= -2

By Using Remainder Theorem,

Now put the value of x in p(x)

$\implies \tt p(x) =( { - 2})^{3} - 2 \times( { - 2})^{2} - 5 \times - 2 + 4 \\ \tt \implies p(x) = - 8( - 2 \times 4) + 10 + 4 \\ \implies\tt p(x) = - 8 - 8 + 14 = 8$

Since remainder is 8 , so (x+2) is not factor of p(x).