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
Show that m − 1 is a factor of m21 − 1 and m22 − 1.
Prove by factor theorem that
(3x-2) is a factor of 18x3 - 3x2 + 6x -12
Show that (x – 3) is a factor of x3 – 7x2 + 15x – 9. Hence factorise x3 – 7x2 + 15 x – 9
Show that 2x + 7 is a factor of 2x3 + 5x2 – 11x – 14. Hence factorise the given expression completely, using the factor theorem.
Use factor theorem to factorise the following polynominals completely. x3 – 13x – 12.
Using the Remainder and Factor Theorem, factorise the following polynomial: x3 + 10x2 – 37x + 26.
If (3x – 2) is a factor of 3x3 – kx2 + 21x – 10, find the value of k.
If (2x – 3) is a factor of 6x2 + x + a, find the value of a. With this value of a, factorise the given expression.
Determine whether (x – 1) is a factor of the following polynomials:
x4 + 5x2 – 5x + 1
Find the value of 'a' if x – a is a factor of the polynomial 3x3 + x2 – ax – 81.
