SOLUTION: The degree three polynomial f(x) with real coefficients and leading coefficient 1, has 4 and 3 + i among its roots. Express f(x) as a product of linear and quadratic polynomials wi
Algebra.Com
Question 114557: The degree three polynomial f(x) with real coefficients and leading coefficient 1, has 4 and 3 + i among its roots. Express f(x) as a product of linear and quadratic polynomials with real coefficients.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
If one of the roots is , then must also be a root because complex roots come in conjugate pairs .
Now that we know all three roots, namely 4, , and , we can create a linear binomial factor and a quadratic factor that will represent the desired degree three polynomial.
Factor 1:
Factor 2:
Complete the expression for f(x)
RELATED QUESTIONS
I dont understand
"The degree three polynomial f(x) with real coefficients and leading (answered by stanbon)
The degree three polynomial f(x) with real coefficients and leading
coefficient 1, has 4 (answered by khwang)
The degree three polynomial f(x) with real coefficients and leading coefficient 1, has 4... (answered by stanbon)
the degree three polynomial f(X) with real coefficients and leading coefficient 1, has 4... (answered by ankor@dixie-net.com)
the degree three polynomial f(x) with real coefficients and leading coefficient 1, has -3 (answered by Edwin McCravy)
The degree three polynomial f(x) with real coefficients and leading coefficient 1, has -3 (answered by stanbon)
THE DEGREE THREE POLYNOMIAL f(x) WITH REAL COEFFICIENTS AND LEADING COEFFICIENT 1, HAS -3 (answered by stanbon)
The degree three polynomial f(x) with real coefficients and leading coefficient 1, has -3 (answered by stanbon)
The degree three polynomial f(x) with real coefficients and leading coefficient 1 has -3... (answered by stanbon)