Question

Factorise the following by splitting the middle term.

i) x2 + 2x – 15

ii) y2 – 9y + 14​

Answer 1

Answer:

1]x=3

2]y=3 or y=7

Step-by-step explanation:

1) x2+2x-15 [by splitting we get 5*3=15]

x2+5x-3x-15=0

x(x+5)-3(x+5)=0

hence answer is x=3 0r x=-5 as the value cannot be negative

Hence ,x=3

2) y2-9y+14=0 [by splitting7*3]

y2-7y+3y+14=0

y(y-7)-3(y-7)

hence y=3 or y=7

Done!

Answer 2

Answer:

i). x²+2x-15

x²+(5-3)x-15

x²+5x-3x-15

x(x+5)-3(x+5)

(x+5)(x-3)

ii). y²-9y+14

y²-(7+2)y+14

y²-7y-2y+14

y(y-7)-2(y-7)

(y-7)(y-2)

Step-by-step explanation:

Hope this was helpful ☺️