Question

If 3 and -3 are two zeros of the polynomial p(x) = x⁴+x³_11x²_9x+18 , then
find the remaining two zeros of the polynomial​

Answer 1

Answer:

3^4 + 3^3 - 11* 3^2 - 9*3 + 18

81 + 27 - 11* 9 - 27 + 18

81+ 27 - 99 - 27 + 18

108 - 99 - 9

108 - 108

0

-3 ^4 + -3 ^3 - 11 * -3^2 - 9*-3 + 18

81 - 27 - 11 * +9 + 27 + 18

81 - 27 - 99 + 27 +18

54 - 99 + 45

99 - 99

0

hope it helps

Answer 2

If 3 and -3 are the two zeros of the polynomial then x+3 and x-3 are the two factors of the given polynomial. On division you of the factor by the polynomial you get the quotient in the form of quadratic equation. On solving the quadratic equation you get both the other zeros