When a is a value, the polynomial x2 + 7xy + ay2-5x + 43y-24 can be decomposed into the product of two first-order factors

When a is a value, the polynomial x2 + 7xy + ay2-5x + 43y-24 can be decomposed into the product of two first-order factors

The first term of polynomial is X2, so the original formula can be decomposed into: (x + KY + C) (x + ly + D), ∵ (x + KY + C) (x + ly + D) = x2 + (K + L) XY + kly2 + (c + D) x + (Cl + DK) y + CD, ∵ CD = - 24, C + D = - 5, ∵ C = 3, d = - 8, ∵ Cl + DK = 43, ∵ 3; 3; 3; 3l-8k = 43,