Question

Divide 2x cube -2x square - 2x-5 by x-1 and write division fact

Answer 1

Answer:

let f(X)=2xfour - 4xcube - 3x - 1

first see how many times 2 x four is of X

2x four /X = 2x cube

now multiply (x-1)(2xcube)= 2x four - 2x cube

then again c the first term of the reminder that is - 2 x cube now do the same

here the quotient is x cube minus x square minus 2 x minus 5 remainder is minus 6

now the zero of the polynomial (x-1)is1

put X=1 in f(X),f(X) = 2x four -4x cube -3x-1

f(1)=2(1)four-4(1) cube -3(1)-1

2(1)-4(1)-3(1)-1

2-4-3-1

=-6