Advertisements
Advertisements
प्रश्न
Determine the value of m, if (x + 3) is a factor of x3 – 3x2 – mx + 24
Advertisements
उत्तर
p(x) = x3 – 3x2 – mx + 24
when x + 3 is a factor
P(–3) = 0
(–3)3 – 3(–3)2 – m(–3) + 24 = 0
– 27 – 27 + 3m + 24 = 0
– 54 + 24 + 3m = 0
– 30 + 3m = 0
3m = 30
m = `30/3`
= 10
The value of m = 10
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.
Using the Remainder Theorem, factorise each of the following completely.
3x3 + 2x2 – 23x – 30
If x – 2 is a factor of x2 + ax + b and a + b = 1, find the values of a and b.
Prove by factor theorem that
(x-2) is a factor of 2x3- 7x -2
Find the value of m ·when x3 + 3x2 -m x +4 is exactly divisible by (x-2)
Find the value of a , if (x - a) is a factor of x3 - a2x + x + 2.
In the following problems use the factor theorem to find if g(x) is a factor of p(x):
p(x) = x3 - 3x2 + 4x - 4 and g(x) = x - 2
Use factor theorem to factorise the following polynominals completely. x3 – 13x – 12.
Factors of 4 + 4x – x2 – x3 are ______.
