Question

check wheather (x+3) is a factor of F(x) =x³-3x²+4x +50.​

Answer 1

Given:

f (x) = x³- 3x² + 4x + 50.

g(x) = x-3.

To find: g(x) is a fator of f(x) or not.

g(x) = x-3 =0

=> x=3.

According to factor theorem, If f(x)=0 then g(x) is a factor of f(x).

f (x) = x³- 3x² + 4x + 50

i.e., f(3)= 3³-3×3²+4×3+50

=> 27-27+12+50

=> 62 ≠0

No. g(x) is not a factor of f(x).

Answer 2

Answer:

Here is your answer

Step-by-step explanation:

As the degree of f(x) = 3 that means there will be 3 factors of f(x).

Now , to check x+3 is one of those 3 factors of f(x) or not we have to constitute the value of x first,

x + 3 = 0

x = -3

Now in order to check whether x+3 is a factor of f(x) or not put the value of x in the polynomial f(x)

f(x) = x³- 3x² - 4x + 50

so, f( -3) = (-3)³ - (4 × -3 ) + 50

= -27 + 12 +50

= 35

as 35 is not equal to 0 we can conclude that x+ 3 is not a factor of polynomial f(x).