Advertisements
Advertisements
प्रश्न
Find the value of m ·when x3 + 3x2 -m x +4 is exactly divisible by (x-2)
Advertisements
उत्तर
x - 2 = 0 ⇒ x = 2 and remainder is 0
Substituting this value , we get :
f (2) = 2 × 2 × 2 + 3 × 2 × 2 - m × 2 + 4 = 0
⇒ 2m = 24
⇒ m = 12
APPEARS IN
संबंधित प्रश्न
Find the values of m and n so that x – 1 and x + 2 both are factors of x3 + (3m + 1)x2 + nx – 18.
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
Prove by factor theorem that
(2x+1) is a factor of 4x3 + 12x2 + 7x +1
Show that (x – 2) is a factor of 3x2 – x – 10 Hence factorise 3x2 – x – 10.
Show that 2x + 7 is a factor of 2x3 + 5x2 – 11x – 14. Hence factorise the given expression completely, using the factor theorem.
Find the value of the constants a and b, if (x – 2) and (x + 3) are both factors of the expression x3 + ax2 + bx – 12.
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.
Which of the following is a factor of (x – 2)2 – (x2 – 4)?
Is (x – 2) a factor of x3 – 4x2 – 11x + 30?
