已知多项式kx^2-6xy-8y^2可分解为2(mx+y)(x-4y),求k和m的值

问题描述:

已知多项式kx^2-6xy-8y^2可分解为2(mx+y)(x-4y),求k和m的值

已知多项式kx^2-6xy-8y^2可分解为2(mx+y)(x-4y),求k和m的值因为2(mx+y)(x-4y)=2(mx^2-4mxy+xy-4y^2)=2mx^2+(2-8m)xy-8y^2 又因为kx^2-6xy-8y^2=2(mx+y)(x-4y),即 kx^2-6xy-8y^2=2mx^2+(2-8m)xy-8y^2 所以 k=2m,-6=2...