Advertisements
Advertisements
प्रश्न
If x – 2 is a factor of x3 – kx – 12, then the value of k is ______.
पर्याय
3
2
–2
–3
Advertisements
उत्तर
If x – 2 is a factor of x3 – kx – 12, then the value of k is –2.
Explanation:
(x – 2) is a factor of x3 – kx – 12
Then putting x – 2 = 0
i.e. x = 2 in given expression,
Remainder = 0
(2)3 – 2k – 12 = 0
8 – 2k – 12 = 0
2k = – 4
`\implies` k = –2
= –2
APPEARS IN
संबंधित प्रश्न
If x – 2 is a factor of x2 + ax + b and a + b = 1, find the values of a and b.
If (x - 2) is a factor of x3 − mx2 + 10x − 20 then find the value of m.
By using factor theorem in the following example, determine whether q(x) is a factor p(x) or not.
p(x) = x3 − x2 − x − 1, q(x) = x − 1
By using factor theorem in the following example, determine whether q(x) is a factor p(x) or not.
p(x) = 2x3 − x2 − 45, q(x) = x − 3
Prove by factor theorem that
(3x-2) is a factor of 18x3 - 3x2 + 6x -12
Prove that (x - y) is a factor of yz( y2 - z2) + zx( z2 - x2) + xy ( x2 - y2)
Prove that (x+ 1) is a factor of x3 - 6x2 + 5x + 12 and hence factorize it completely.
Show that (x - 1) is a factor of x3 - 7x2 + 14x - 8. Hence, completely factorise the above expression.
Given that x + 2 and x + 3 are factors of 2x3 + ax2 + 7x - b. Determine the values of a and b.
x – 1 is a factor of 8x2 – 7x + m; the value of m is ______.
