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Musya8 [376]
3 years ago
6

Which of the following is a factor of x4 + 5x3 - 4x2 - 8x + 6? 2x+3 x-1 2x-3 x+1

Mathematics
2 answers:
uysha [10]3 years ago
7 0

Answer:

The correct option is 2.

Step-by-step explanation:

The given function is

f(x)=x^4+5x^3-4x^2-8x+6

If (x-c) is a factor of a function, then f(c)=0.

In option 1:

(2x+3)=0

x=-\frac{3}{2}

f(-\frac{3}{2})=(-\frac{3}{2})^4+5(-\frac{3}{2})^3-4(-\frac{3}{2})^2-8(-\frac{3}{2})+6=\frac{-45}{16}\neq 0

Therefore option 1 is incorrect.

In option 2:

x-1=0\Rightarrow x=1

f(1)=(1)^4+5(1)^3-4(1)^2-8(1)+6=0

Therefore option 2 is correct and (x-1) is a factor of f(x).

In option 3:

(2x-3)=0

x=\frac{3}{2}

f(\frac{3}{2})=(\frac{3}{2})^4+5(\frac{3}{2})^3-4(\frac{3}{2})^2-8(\frac{3}{2})+6=\frac{111}{16}\neq 0

Therefore option 3 is incorrect.

In option 4:

x+1=0\Rightarrow x=-1

f(-)=(-1)^4+5(-1)^3-4(-1)^2-8(-1)+6=6\neq 0

Therefore option 4 is incorrect.

muminat3 years ago
4 0

Answer:

x + 1

Step-by-step explanation:


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