Question

Using remainder theorem, factorise: 2x 3 -13x 2 +26x-15

Answer 1

P(x) = 2 x³ - 13 x² + 26 x - 15

for x =1, P(x) = 0 .  Hence (x-1) is a factor.

P(x) = (x - 1) (2 x² - a x + 15)
       =  2x³ - (a +2) x² + (a+15) x - 15
comparing coefficients :  a = 11

hence :   2 x² - 11 x + 15
               2 x² - 6 x - 5 x + 15
               2 x (x - 3) - 5 ( x -3)

Hence factors are :  ( x - 1)( 2x - 5) ( x - 3)

Answer 2

Answer:Hi there

Ans is (x-1)(x-3)(2x-5)

Step-by-step explanation:

P(x) = 2 x³ - 13 x² + 26 x - 15

for x =1, P(x) = 0 .  Hence (x-1) is a factor.

P(x) = (x - 1) (2 x² - a x + 15)

       =  2x³ - (a +2) x² + (a+15) x - 15

comparing coefficients :  a = 11

hence :   2 x² - 11 x + 15

               2 x² - 6 x - 5 x + 15

               2 x (x - 3) - 5 ( x -3)

Hence factors are :  ( x - 1)( 2x - 5) ( x - 3)