If –3 + i is a root of the polynomial function f(x), which of the following must also be a root of f(x)?
If –3 + I Is A Root Of The Polynomial Function F(X), Which Of The Following Must Also Be A Root Of F(X)?
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If –3 + I Is A Root Of The Polynomial Function F(X), Which Of The Following Must Also Be A Root Of F(X)?. Since −3+ i is a root of the polynomial function, its complex conjugate −3 − i must also be a root due to the properties of polynomials with real coefficients. To determine which root must also be present in the polynomial function f(x) given that −3+i is a root, we apply the property of polynomials with real coefficients.
now, suppose one of the roots of the polynomial function is complex from brainly.com
Complex roots of polynomials with real coefficients come in conjugate pairs. To determine which root must also be present in the polynomial function f(x) given that −3+i is a root, we apply the property of polynomials with real coefficients. This is because the coefficients of the polynomial are real.
Given That −3+I Is A Root Of The Polynomial Function F(X), The Polynomial Must Also Have The Conjugate Root −3−I.
Complex roots of polynomials with real coefficients come in conjugate pairs. According to the fundamental theorem of algebra, which polynomial function has. This is because the coefficients of the polynomial are real.
The Question Asks To Identify Another Root Of A Polynomial Function Given One Complex Root.
To determine which root must also be present in the polynomial function f(x) given that −3+i is a root, we apply the property of polynomials with real coefficients. If f (x) is a third degree polynomial function, how many distinct imaginary roots are possible? Since −3+ i is a root of the polynomial function, its complex conjugate −3 − i must also be a root due to the properties of polynomials with real coefficients.