The point (-2, -6) lies on the graph of a function f(x) if the f(x) = 3x^3 + 8x^2 + 5x – 4 divided by x + 2 and found the remainder was r = -6 option fourth is correct.
What is polynomial?
Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
Let's suppose the divisor is Q
Then from the remainder theorem:
f(x) = (x+2)Q -6
[tex]\rm 3x^3+8x^2+5x-4=(x+2)Q-6[/tex]
If we put x = -2, then
[tex]\rm 3(-2)^3+8(-2)^2+5(-2)-4=(-2+2)Q-6[/tex]
[tex]\rm 3\times-8+8\times4-10-4=-6[/tex]
-24 + 32 -10 -4 = -6
-6 = -6
It means (-2, -6) lies on the function(also refer the graph of the function)
Thus, the point (-2, -6) lies on the graph of a function f(x) if the f(x) = 3x^3 + 8x^2 + 5x – 4 divided by x + 2 and found the remainder was r = -6 option fourth is correct.
Learn more about Polynomial here:
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