Advertisements
Advertisements
प्रश्न
Find the value of a , if (x - a) is a factor of x3 - a2x + x + 2.
Advertisements
उत्तर
Let f(x) = x2 - a2x + x + 2
Put x - a = 0
∴ x = a
f(a) = a3 - a2·a + a + 2
0 = a3 - a3 + a + 2
or
a + 2 = 0
∴ a = -2
संबंधित प्रश्न
(3x + 5) is a factor of the polynomial (a – 1)x3 + (a + 1)x2 – (2a + 1)x – 15. Find the value of ‘a’, factorise the given polynomial completely.
Prove by factor theorem that
(3x-2) is a factor of 18x3 - 3x2 + 6x -12
In the following problems use the factor theorem to find if g(x) is a factor of p(x):
p(x) = x3 + x2 + 3x + 175 and g(x) = x + 5.
What number should be subtracted from 2x3 – 5x2 + 5x so that the resulting polynomial has 2x – 3 as a factor?
If (x + 2) and (x – 3) are factors of x3 + ax + b, 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
Determine whether (x – 1) is a factor of the following polynomials:
x4 + 5x2 – 5x + 1
If (x – 1) divides the polynomial kx3 – 2x2 + 25x – 26 without remainder, then find the value of k
Factors of 4 + 4x – x2 – x3 are ______.
Is (x – 2) a factor of x3 – 4x2 – 11x + 30?
