Question

Find the constant k so that : -x2 - (k + 7)x - 8 = -(x - 2)(x - 4)​

Answer 1

-x2 - (k + 7)x - 8 = -(x - 2)(x - 4) : given

-x2 - (k + 7)x - 8 = -x2 + 6x - 8

-(k + 7) = 6 : two polynomials are equal if their corresponding coefficients are equal.

k = -13 : solve the above for k