Question

find whether polynomial g(x) is a factor of polynomial f(x)or not : f (x) = 3x⁴+17x³+9x²–7x–10, g ( x) = x+50​

Answer 1

Step-by-step explanation:

According to the problem:-

Given that:

f(x)=3x

4

+17x

3

+9x

2

−7x−10

and

g(x)=x+5

Using the factor theorem, g(x) is a factor of polynomial f(x)

Therefore,

x+5=0

x=−5

Hence,

f(−5)=3(−5)

4

+17(−5)

3

+9(−5)

2

−7(5)−10

Implies that

=3×625+17×(−125)+225+35−10

Implies that

=1875−2125+250

=0

Hence the g(x) is the factor of polynomial f(x)