verify whether g(x)is a factor of f(x) f(x)=2x³+4x+6 g(x)=x+1
Answers
Answer:
F(x) = 2(-1)^3+4×(-1)+6. F(x) = -2 -4 +6 = 0.
Step-by-step explanation:
g(x) = x+1
x+1 = 0.
x= -1.
F(x) = 2x^3 + 4x + 6.
putting value of x in F(x).
F(x) = 2(-1)^3+4×(-1)+6.
F(x) = -2 -4 +6 = 0.
Yes, it is a factor of this polynomial.
Hope this answer will help you and plz mark it as brainliest.
(i) Apply factor theorem
x+1=0
So x=−1
2x
3
+x
2
−2x−1
Replace x by −1, we get
2(−1)
3
+(−1)
2
−2(−1)−1=−2+1+2−1=0
Reminder is 0 so that x+1 is a factor of 2x
3
+x
2
−2x−1
(ii) Apply factor theorem
x+2=0
So x=−2
x
3
+3x
2
+3x+1
Replace x by −2, we get
(−2)
3
+3(−2)
2
+3(−2)+1=−8+12−6+1=1
Reminder is 1 so that x+2 is not a factor of x
3
+3x
2
+3x+1
(iii) Apply factor theorem
x−3=0
So x=3
x
3
−4x
2
+x+6
Replace x by 3, we get
(3)
3
−4(3)
2
+(3)−1=27−36+3+6=0
Reminder is 0 so that x−3 is a factor of x
3
−4x
2
+x+6