Question

if 3 is a zero of polynomial x^4-2x^3+3x^2-nx+5 then fund the value of m​

Answer 1

Correct Question :-

• If 3 is a zero of polynomial, x⁴ -2x³+3x² - nx + 5 then fund the value of n

Solution :-

We will put up the value of x as 3, and then solve it further

x⁴ -2x³+3x²- nx +5 = 0

⟹ (3)⁴ - 2 × (3)³ + 3 × (3)² - n × 3 + 5 = 0

⟹ 81 - 2 × 27 + 3 × 9 - n × 3 + 5 = 0

Remember the BODMAS rule

⟹ 81 - 54 + 27 - 3n + 5 = 0

⟹ 81 + 27 + 5 -54 - 3n = 0

⟹ 113 - 54 - 3n = 0

⟹ 59 - 3n = 0

⟹ 59 = 3n

⟹ n = 59/3

Thus, the value of n is 59/3