Write a polynomial function f of least degree that has rational coefficients, a leading coefficient...

Answered

2022-01-31

Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros. Write the polynomial in standard form. 2, 5 + i

Answer & Explanation

alenahelenash

alenahelenash

Expert

2022-03-09Added 366 answers

f(x)=(x2)[x(5i)][x(5+i)]

=(x2)[(x5)+i][(x5)i)

=(x2)[(x5)2i2]

=(x2)(x210x+25+1)

=(x2)(x210x+26)

=x310x2+26x2x2+20x52

=x312x2+46x52

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