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
Find the value of ‘k’ if (x – 2) is a factor of x3 + 2x2 – kx + 10. Hence determine whether (x + 5) is also a factor.
Show that 3x + 2 is a factor of 3x2 – x – 2.
If 2x + 1 is a factor of 2x2 + ax – 3, find the value of a.
Prove by factor theorem that
(x - 3) is a factor of 5x2 - 21 x +18
If x – 2 is a factor of 2x3 - x2 - px - 2.
with the value of p, factorize the above expression completely.
If (3x – 2) is a factor of 3x3 – kx2 + 21x – 10, find the value of k.
If ax3 + 3x2 + bx – 3 has a factor (2x + 3) and leaves remainder – 3 when divided by (x + 2), find the values of a and b. With these values of a and b, factorise the given expression.
Determine whether (x – 1) is a factor of the following polynomials:
x3 + 5x2 – 10x + 4
If (x – 1) divides the polynomial kx3 – 2x2 + 25x – 26 without remainder, then find the value of k
x – 1 is a factor of 8x2 – 7x + m; the value of m is ______.
