Mathematics
The value of p for which (x - p) is a factor of x3 - px2 + x + 5 is:
-5
-4
5
p + 5
Factorisation
1 Like
Answer
Given,
f(x) = x3 - px2 + x + 5
⇒ x - p = 0
⇒ x = p.
Since, (x - p) is the factor of f(x), thus f(p) = 0.
f(p) = (p)3 - p(p)2 + p + 5
⇒ 0 = p3 - p3 + p + 5
⇒ 0 = p + 5
⇒ p = -5.
Hence, option 1 is the correct option.
Answered By
1 Like
Related Questions
Assertion (A): In ΔABC and ΔPQR, if ∠BAC = ∠QPR and ∠ABC = ∠PQR, then ΔABC ~ ΔPQR
Statement 2: ΔABC ~ ΔPQR by SSS axiom
(A) is true, (R) is false.
(A) is false, (R) is true.
Both (A) and (R) are true, and (R) is the correct reason for (A).
Both (A) and (R) are true, and (R) is the incorrect reason for (A).
The ratio of diameters of two right circular cones is 3 : 7 and that of their heights is 14 : 9, then their volumes are in ratio:
3 : 7
2 : 7
3 : 2
9 : 49
The GST of an article is reduced from 12% to 5% and due to this, the price paid for the article is cut down by ₹ 14. The original price of the article is:
₹ 50
₹ 98
₹ 100
₹ 200
The mean of 12, 22, 33 and 44 is:
24
72
144
264