If x - 2 is a factor of 3x⁴ - 2x³ + 7x² - 21x + k, then the value of k is ____
(a) 2
(b) 9
(c) 18
(d) -18
Answers
Answered by
1
Since x - 2 is a factor,
3x⁴ - 2x³ + 7x² - 21x + k = 0.
3(2)^4 - 2(2)^3 + 7(2)^2 + 21(2) + k = 0
48 - 16 + 28 - 42 + k = 0
k = - 18.
3x⁴ - 2x³ + 7x² - 21x + k = 0.
3(2)^4 - 2(2)^3 + 7(2)^2 + 21(2) + k = 0
48 - 16 + 28 - 42 + k = 0
k = - 18.
Similar questions