Question

Divide 3xpower3-7xpower2+4x-3 by x-2

Answer 1

Step-by-step explanation:

$Using \: \: Remainder \: \: Theorem \\ \\ g(x)= x - 2 = 0 \\ x - 2 = 0 \\ x = \underline{ \underline{2}} \\ \\ f(x) = 3 {x}^{3} - 7 {x}^{2} + 4x - 3 \\ f(2) = 3 {(2)}^{3} - 7 {(2)}^{2} + 4(2) - 3 \\ = (3 \times 8) - (7 \times 4) + (4 \times 2) - 3 \\ = 24 - 28 + 8 - 3 \\ \boxed{ = \underline{ \underline{1}}}$