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Jordan1994
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Q1.) Use the factor and remainder theorems to find solutions to:
\(\displaystyle 1x^3+1x^2+-9x+D=0\)
\(\displaystyle 1x^3+1x^2+-9x+D=0\)
Jordan1994 said:Q1.) Use the factor and remainder theorems to find solutions to:
\(\displaystyle 1x^3+1x^2+-9x+D=0\)
Factor theorem states that if a polynomial f(x) has a factor (x-a), then f(a) = 0. On the other hand, remainder theorem states that if a polynomial f(x) is divided by (x-a), the remainder will be f(a).
In order to use the factor theorem to find zeros of a polynomial, you must first factor the polynomial into its linear factors. Then, set each factor equal to zero and solve for x. The solutions will be the zeros of the polynomial.
No, the remainder theorem only helps to find the remainder when a polynomial is divided by (x-a). To find the degree of a polynomial, you must look at the highest power of x in the polynomial.
No, the factor theorem is only applicable to polynomials with real coefficients. It also only applies to polynomials that can be factored into linear factors.
The factor theorem helps in simplifying polynomial expressions by allowing us to factor the polynomial into its linear factors. This makes it easier to identify and cancel common factors, and ultimately simplifies the expression.