Question

What is the polynomial function of lowest degree with lead coefficient 1 and roots 1 and 1 i? f(x) = x2 – 2x 2 f(x) = x3 – x2 4x – 2 f(x) = x3 – 3x2 4x – 2 f(x) = x2 – x 2

Answer 1

The polynomial with the lowest degrees and a leading coefficent of 1 will be f(x) = x^2 – x

Polynomial function

These are function with leading degree of 3 and above

Given the standard polynomial function of degree 3

ax³+bx²+cx+d

The leading coefficient is "a"

The polynomial with the lowest degrees and a leading coefficent of 1 will be f(x) = x^2 – x

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