Express $ \frac{3x^2 + 11x + 8}{ (x + 1)(x + 2) } $ in partial fractions. Hence evaluate \( \frac{

Question

Express $ \frac{3x^2 + 11x + 8}{ (x + 1)(x + 2) } $ in partial fractions. Hence evaluate $ \frac{3(18)^2 + 11(18) + 8}{19(20)^2}$ without using a calculator.

Accepted Answer

$3+\dfrac2{x+2}$; numerical value $\dfrac{31}{200}$.

Polynomials, Cubic Equations and Partial Fractions - Partial Fractions

Polynomials, Cubic Equations and Partial Fractions - Partial Fractions

Solution:

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