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
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 x – 2 is a factor of 5x2 + 15x – 50.
If x + a is a common factor of expressions f(x) = x2 + px + q and g(x) = x2 + mx + n; show that : `a = (n - q)/(m - p)`
If (x - 2) is a factor of x3 − mx2 + 10x − 20 then find the value of m.
Prove that (x+ 1) is a factor of x3 - 6x2 + 5x + 12 and hence factorize it completely.
Use the factor theorem to determine that x - 1 is a factor of x6 - x5 + x4 - x3 + x2 - x + 1.
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
If x – 2 is a factor of 2x3 - x2 - px - 2.
with the value of p, factorize the above expression completely.
Find the value of 'a' if x – a is a factor of the polynomial 3x3 + x2 – ax – 81.
If mx2 – nx + 8 has x – 2 as a factor, then ______.
