Question

show that (x-2)is a factor of 2x^4 -6x^3x-2​

Answer 1

Answer:

86 is the answer ok friend

Answer 2

[tx]\mathbb\green{GIVEN}[/tex]

• Show that x-2 is a factor of 2x⁴-6x³+3x²+3x-2 is correct question

[tex]\mathbb\green{METHOD TO BE USED}[/tex]

• Use factor theorem or remainder theorem to get 0. According to factor or remainder theorem when p(x) is divided by f(x) then use x-2=0,x=2 to get remainder as 0

[tex]\mathbb\green{SOLUTION}[/tex]

• According to remainder theorem

f(x)=x-2 ,x=2

• Substitute 2 in value of x

p(x)=2x⁴-6x³+x-2

p(2)=2×2⁴-6×2³+3×2²+3×2-2

2×16-6×8+3×4+6-2

32-48+12+4

-16+16 =0

Hence proved ,,,,......