Question

using remainder theorem factorise 25 x ^ 4 + 75 x ^ 3 + 34 x ^2 - 48 x - 32

Answer 1

$f(x) = 25 x ^ 4 + 75 x ^ 3 + 34 x ^2 - 48 x - 32 :</p><p>f(-1) = f(-2) =0: </p> <p>Hence x+1 and x+2 are factors. By division </p><p>Quotient is 25x^2-16</p><p>So factors are (x+1)(x+2)(5x+4)(5x-4)$