Question

Factorize. 

i. 2y² – 11y + 5 

ii. x² – 2x – 80 

iii. 3x² – 4x + 1

Answer 1

i. 2y² – 11y + 5 

= 2y² – 10y – y + 5 

= 2y(y – 5) – 1(y – 5) 

= (y – 5)(2y – 1)

ii. x² – 2x – 80 

= x² – 10x + 8x – 80 

= x(x – 10) + 8(x – 10) = (x – 10)(x + 8)

iii. 3x² – 4x + 1 = 3x² – 3x – x + 1 

= 3x(x – 1) – 1(x – 1) 

= (x – 1) (3x – 1)