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irakobra [83]
3 years ago
5

Determine if x+3 is a factor of -3x^3+6x^2+6x+9. How do u know

Mathematics
1 answer:
krek1111 [17]3 years ago
6 0
By the factor theorem, if x + 3 is a factor of f(x) = -3x^3 + 6x^2 + 6x + 9, then f(-3) = 0
f(-3) = -3(-3)^3 + 6(-3)^2 + 6(-3) + 9 = -3(-27) + 6(9) - 18 + 9 = 81 + 54 - 9 = 126.

Therefore, x + 3 is not a factor of the given function
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Step 1:  rewrite the equation of the given line in to slope-intercept form by solving for y

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        y = x/5 + 9/5           (divide both side by -5)

Step 2:  Our line is parallel to this line, so it has the same slope, but a different  y-intercept, so set up the equation...

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 -4 = 2/5 + b

            -4 - 2/5 = b      (subtract 2/5 from both sides to isolate b)  

                   -20/5 - 2/5 = b

 

                         -22/5 = b      (simplify)

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