Advertisements
Advertisements
प्रश्न
If x – 2 is a factor of 2x3 - x2 - px - 2.
Find the value of p
Advertisements
उत्तर
Given expression is 2x3 - x2 - px - 2 and x - 2 is the factor.
x - 2 = 0, x = 2 in expression
2(2)3 - (2)2 - p(2) - 2 = 0
16 - 4 - 2p - 2 = 0
10 - 2p = 0
p = 5
संबंधित प्रश्न
Using the factor Theorem, show that:
2x + 7 is a factor 2x3 + 5x2 − 11x – 14. Hence, factorise the given expression completely.
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
(x - 3) is a factor of 5x2 - 21 x +18
Use the factor theorem to factorise completely x3 + x2 - 4x - 4.
Find the value of a , if (x - a) is a factor of x3 - a2x + x + 2.
Show that (x – 1) is a factor of x3 – 5x2 – x + 5 Hence factorise x3 – 5x2 – x + 5.
Use factor theorem to factorise the following polynominals completely. x3 – 13x – 12.
If (2x + 1) is a factor of 6x3 + 5x2 + ax – 2 find the value of a.
Which of the following is a factor of (x – 2)2 – (x2 – 4)?
If x – 3 is a factor of x2 + kx + 15; the value of k is ______.
