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The zeros of the function [tex]f(x) = 7x^3 - 5x^2 - 63x + 45[/tex] are ______.

Answer :

To find the zeros of the function f(x)=7x³−5x²−63x+45, solve the resulting equation. This could be done through factoring, graphing, using synthetic division or applying the rational root theorem. Cubic equations may have one, two, or three real roots.

To find the zeros of the function f(x)=7x³−5x²−63x+45, we need to solve this cubic polynomial equation. This can be done by factoring, graphing, using synthetic division or applying the rational root theorem if possible. Finding the zeros of this function essentially means solving the equation f(x) = 0, which in this case simplifies to: 7x³−5x²−63x+45 = 0.

Due to the complex nature of this cubic equation, I would recommend using either a graphing calculator or an online graphing tool to accurately find the roots. In such a tool, you would enter the equation, and it will provide a visual graph of the polynomial. The x-coordinates where the graph intersects the x-axis are the zeros of the function. This method will help you approximate the zeros of the function. It's also worth noting that cubic equations may have one, two, or three real roots.

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