Question

update all other zeros of the polynomial X raise to 4 - 17 x square - 36 x minus 20 if two of its zeros are plus 5 and minus 2​

Answer 1

Answer:

{- 2, - 2, - 1, 5}

Step-by-step explanation:

If $x_{1}$ = - 2 is zero of given polynomial, then (x + 2) is the factor of that polynomial.

($x^{4}$ - 17x² - 36x - 20) ÷ (x + 2) = x³ - 2x² - 13x - 10

If $x_{2}$ = 5, is zero of given polynomial, then (x - 5) is the factor of that polynomial.

(x³ - 2x² - 13x - 10) ÷ (x - 5) = x² + 3x + 2 = (x + 1)(x + 2)  

$x_{3}$ = - 1

$x_{4}$ = - 2

{- 2, - 2, - 1, 5}