The graph (B) represents the polynomial function f(x) = x⁴ + x³ – 8x² – 12x because the graph intersect at 0, -2, and 3option (B) is correct.
What is polynomial?
Polynomial is the combination of variables and constants systematically 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]
We have a polynomial function:
f(x) = x⁴ + x³ – 8x² – 12x
First, find the roots or zeros of the polynomial.
Using the factorization method:
We can write the above polynomial as:
f(x) = x(x³ + x² - 8x - 12)
Or
f(x) = x(x + 2)(x + 2)(x - 3)
Or
f(x) = x(x + 2)²(x - 3)
The zeros are:
x = 0
x = -2
x = 3
Thus, the graph (B) represents the polynomial function f(x) = x⁴ + x³ – 8x² – 12x because the graph intersect at 0, -2, and 3option (B) is correct.
Learn more about Polynomial here:
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