In the quadratic trinomial formula X & # 178; + PX + Q with quadratic coefficient 1, if the constant term Q can be decomposed into the product of two factors AB, and a + B is equal to P in the coefficient of the first term, then it can be decomposed into X & # 178; + PX + q = x & # 178; + (a + b) = (x + a) (x + b) Factorization: x²+9x+14 x²-x-12 x²+8x+12 x²-7x+10 x²-2x-8 x²-9x-22

In the quadratic trinomial formula X & # 178; + PX + Q with quadratic coefficient 1, if the constant term Q can be decomposed into the product of two factors AB, and a + B is equal to P in the coefficient of the first term, then it can be decomposed into X & # 178; + PX + q = x & # 178; + (a + b) = (x + a) (x + b) Factorization: x²+9x+14 x²-x-12 x²+8x+12 x²-7x+10 x²-2x-8 x²-9x-22

In X & # 178; + 9x + 14, a = 2, B = 7, a + B = 9, ab = 14, so x & # 178; + 9x + 14 = (x + 2) (x + 7),
In X & # 178; - X-12, a = - 4, B = 3, a + B = - 1, ab = - 12, so x & # 178; - X-12 = (x-4) (x + 3),
In X & # 178; + 8x + 12, a = 2, B = 6, a + B = 8, ab = 12, so x & # 178; + 8x + 12 = (x + 2) (x + 6),
In X & # 178; - 7x + 10, a = - 2, B = - 5, a + B = - 7, ab = 10, so x & # 178; - 7x + 10 = (X-2) (X-5),
In X & # 178; - 2x-8, a = - 4, B = 2, a + B = - 2, ab = - 8, so x & # 178; - 2x-8 = (x-4) (x + 2),
In X & # 178; - 9x-22, a = 2, B = - 11, a + B = - 9, ab = - 22, so x & # 178; - 9x-22 = (x + 2) (X-11)