Question

show that 2x+1 is a factor of polynomial 2xcube-11xsquare-4x+1

Answer 1

◆Ekansh Nimbalkar◆
hello friend here is your required answer

Answer 2

Hey there !!

p(x) = 2x³ -11x² - 4x + 1

g(x) = 2x +1

2x + 1 = 0

x = -1/2

Put this value in p(x) :-

p(-1/2)= 2 × [-1/2]³ - 11 ×  [ -1/2 ]² - 4 × -1/2  + 1
             2 ×  -1/8 - 11 × 1/4 +2 + 1
            2 ×  -1/8 - 11 × 1/4 + 3
           -2/8 -11/4 + 3

          =  -2/8 + -22/8 + 3
          = -24/8 + 3
          = -3 + 3
          = 0
Hence ,

2x + 1 is a factor of the polynomial  2x³ -11x² - 4x + 1

Hope this Helped You !!!