Question

Find the quotient and remainder when f(x)=4x^3+3x^2 -2x +1 Is divided by a) 2x +1 b) 2x -3 This is polynomials in futher maths?

Answer 1

Step-by-step explanation:

$given \: that \: \: \: f(x) = 4x {}^{3} + 3x {}^{2} - 2x + 1 \\ now .\: a)2x + 1 = 0 \\ x = - \frac { 1}{2} \\ f( - \frac{1}{2} ) = 4 \times ( - \frac{1}{2} ) {}^{3} + 3\times ( - \frac{1}{2} ) {}^{2} - 2 \times ( - \frac{1}{2} ) + 1 \\ - \frac{4}{8} + \frac{3}{4} + 1 + 1 \\ - \frac{2}{4} + \frac{3}{4} + 2 \\ \frac{ - 2 + 3 + 8}{4} = \frac{9}{4} \: \: ans$

Do second one also like this and insert in function of x=3/2

Hope you understand.