Anonymous

4(x - 3)(2x + 1)^2 = -4(3 - x)(2x + 1)^2 so 3 - x is a factor

Anonymous

Yes ∵ 4(x - 3)(2x + 1)² = -4(3 - x)(2x + 1)²

Anonymous

Yes. 4(x-3)(2x+1)² = -4(3-x)(2x+1)²

Anonymous

4 ( x - 3 )(2x + 1) ² ------------------------ 3 - x - 4 ( 3 - x ) (2x + 1) ² -------------------------- = - 4 (2x + 1) ² 3 - x Thus 3 - x is a factor

Anonymous

3 - x = 0 x = 3 Check if x = 3 makes the remainder zero? -remainder theorem- I.e. if f(3) = 0? 4(3 - 3)(2x + 1)² = 0 Hence, yes.

Anonymous

Is 3 - x a factor? YES -- because 3 - x = -1(x - 3). So 4(x - 3)(2x + 1)^2 can be factored as 4(-1(3 - x))(2x + 1)^2, and that becomes -4(3 - x)(2x + 1)^2. There's your 3 - x factor.