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Find a degree 
Magazine Problem 47
Find a polynomial function \(f(x)\) of degree 3 with only real coefficients that satisfies the given conditions. Zeros of \(-2,1,\) and \(0 ; \quad f(-1)=-1\)
Problem 48
Use synthetic division to determine whether the given number is a zero of the polynomial function. $$ \frac{1}{2} ; \quad f(x)=2 x^{4}-3 x^{2}+4 $$
Problem 48
Graph each polynomial function. Factor first if the expression is not in factored form. Use the rational zeros theorem as necessary. \(f(x)=3 x^{3}+x^{2}-10 x-8\)
Problem 48
Find a polynomial function \(f(x)\) of degree 3 with only real coefficients that satisfies the given conditions. Zeros of \(2,-3,\) and \(0 ; \quad f(-1)=-3\)
Problem 49
Use synthetic division to determine whether the given number is a zero of the polynomial function. $$ 2-i ; \quad f(x)=x^{2}+3 x+4 $$
Problem 49
Graph each polynomial function. Factor first if the expression is not in factored form. Use the rational zeros theorem as necessary. \(f(x)=x^{3}+x^{2}-8 x-12\)
Problem 49
Find a polynomial function \(f(x)\) of degree 3 with only real coefficients that satisfies the given conditions. Zeros of \(5, i,\) and \(-i ; \quad f(-1)=48\)
Problem 50
Find a polynomial function \(f(x)\) of degree 3 with only real coefficients that satisfies the given conditions. Zeros of \(-2, i\), and \(-i ; \quad f(-3)=30\)
Problem 50
Use synthetic division to determine whether the given number is a zero of the polynomial function. $$ 1-2 i ; \quad f(x)=x^{2}-3 x+5 $$
Problem 51
We have seen the close connection between polynomial division and writing a quotient of polynomials in lowest terms after factoring the numerator. We can also show a connection between dividing one polynomial by another and factoring the first polynomial. letting $$ f(x)=2 x^{2}+5 x-12 $$ Factor \(f(x)\)
