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vampirchik [111]
3 years ago
10

If x = 1 is a zero of the polynomial function f(x) = 3x3 − 8x2 + 3x + 2, which of the following is another zero of f(x)? 

Mathematics
2 answers:
stira [4]3 years ago
7 0

Answer: x = 2

Step-by-step explanation:

Given polynomial function,

f(x) = 3x^3-8x^2 + 3x + 2,

According to question, If x = 1 is a zero of the polynomial function f(x) = 3x^3-8x^2 + 3x + 2

Therefore, (x - 1) is the factor of f(x) = 3x^3 - 8x^2 + 3x + 2

By dividing 3x^3- 8x^2 + 3x + 2 by (x - 1)  (mentioned in below diagram)

We get, 3x^2-5x-2.

Therefore, 3x^3 - 8x^2 + 3x + 2=(x - 1)(3x^2-5x-2)

⇒3x^3 - 8x^2 + 3x + 2=(x - 1)(3x^2-6x+x-2)  (by grouping method)

⇒3x^3- 8x^2 + 3x + 2=(x - 1)(3x+1)(x-2)

Thus, x-2 is a factor of  3x^3- 8x^2 + 3x + 2,

Therefore, x=2 is a zero of 3x^3- 8x^2 + 3x + 2



zubka84 [21]3 years ago
4 0
Divide 3x^3 -8x^2+3x  + 2 by (x - 1)

THis gives the quotient   3x^2 - 5x - 2

3x^2 - 5x -  2  = (3x + 1)(x  - 2 )


so x = 2 is another root  


Its  the first choice 
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