Question

(a) Using the factor theorem, show that (x – 2) is a factor of x3 + x2 – 4x – 4. [3]
Hence, factorise the polynomial completely.
(b) Prove that :
(cosec θ – sin θ) (sec θ – cos θ) (tan θ + cot θ) = 1 [3]
(c) In an Arithmetic Progression (A.P.) the fourth and sixth terms are 8 and 14 respectively.
Find the : [4]
(i) first term
(ii) common difference
(iii) sum of the first 20 terms.​

Answer 1

Answer:

let's take x-2=0 then X=2

8+4-8-4=0 there fore it is a factor

given fourth and sixth terms are 8 and 14 then a+3d=8 and a+5d=14 then d=3 then a= -1

Step-by-step explanation:

then sum of first 20 terms is 10*(-2+19(3))

10*55

550