# An algebra problem by Vivek Parimi

Algebra Level 3

$\large x^4 + 5x^3 + 4x^2 - 3x + 9 = (x - k)^2 (ax^2 + bx + c)$

If the above equation is an algebraic identity with integer $$k$$, find the value of $$5a - 7b +8c$$.

×