Question

Short Answer Questions Type-II :
1. Factorise the following quadratic expressions by the method of completing a square :
(1) p2 + 6p + 8
(ii) q2 - 109 + 21
(iii) 4y2 + 12y + 5
(iv) 4y - 8y + 3
(v) p2 + 6p - 16
FULL ANSWER OTHERWISE U WILL BE REPORTED​

Answer 1

Step-by-step explanation:

(1) p2+6p+8

p2+4p+2p+8

p(p+4)+2(p+4)

(p+2)(p+4)

either p=-2 or p=-4

(2) q2-109+21

q2-88

q2=88

q=√88

q=9.38

(3) 4y2+12y+5

4y2+2y+10y+5

2y(2y+1) +5(2y+1)

(2y+1) (2y+5)

either y=-1/2 or y=-5/2

(4) 4y-8y+3

-4y+3

y=3/4

(5) p2 +6p-16

p2 +8p-2p -16

p(p+8) -2(p+8)

(p+8) (p-2)

either p=-8 or p= 2