Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms. Third-degree, with zeros of 2−i,2+i, and 2, and a leading coefficient of -3.

Question

Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.   Third-degree, with zeros of 2−i,2+i, and 2, and a leading coefficient of -3.

Wasither1957 · Accepted Answer

Step 1   Third degree polynomial with zeroes of 2−i,2+i and 2 and a leading coefficient of -3   As, 2−i,2+i and 2 are roots, so we can write   (x−(2−i))(x−(2+i))(x−2)   (x−2+i)(x−2−i)(x−2)   ((x−2)2−(i)2)(x−2)   (x2−4x+4+1)(x−2)   (x2−4x+5)(x−2)   x3−2x2−4x2+8x+5x−10   x3−6x2+13x−10   Step 2   Also given leadind coefficient is -3   so finally our f(x) is   −3(x3−2x2−4x2+8x+5x−10)   −3x2+18x2−39x+30

Construct a polynomial function with the stated properties. Reduce all

Answered question

Answer & Explanation

New Questions in Pre-Algebra