Answer :
For the linear factors of the cubic, which are (x - 2)(x - 3)(x – 5), the function will be f(x)=1/6x³–5/3x²+31/6x–5.
What is linear factors?
The first-degree equations that make up a polynomial's linear factors serve as the foundation for higher-order and more complicated polynomials. The formula for a linear factor is ax + b, and it cannot be factored further. A linear factor model establishes a linear equation-based relationship between the return on an asset (such as a stock, bond, mutual fund, or other type of investment) and the values of a small number of factors.
Here,
The linear factors of the cubic are
=(x – 2)(x – 3)(x – 5)
To solve for the leading coefficient, use
–5 = a(0 – 2)(0 – 3)(0 – 5)
a = 1/6
f(x)=1/6x³–5/3x²+31/6x–5
The function will be f(x)=1/6x³–5/3x²+31/6x–5 for the the linear factors of the cubic that is (x – 2)(x – 3)(x – 5).
To know more about linear factors,
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