It is known that the polynomial x ^ 2 + KX + 3 can be decomposed into the product of two first-order factors in the range of integers to find the value of K

It is known that the polynomial x ^ 2 + KX + 3 can be decomposed into the product of two first-order factors in the range of integers to find the value of K


According to Weida's theorem, X1 + x2 = - K, X1 * x2 = 3
x1*x2=3=1x3=(-1)*(-3)
So k = 4 or - 4



The polynomial X & # 179; - 6x & # 178; y + 5xy & # 178; - 8y & # 179; + 1 is written as the sum of two integers, so that one of them does not contain the letter X:


(x³-6x²y+5xy²)+(-8y³+1)