Question

find the value of k if Y -3 is a factor of the polynomialP(Y) = Y square2 - 5 Y + k

Answer 1

Step-by-step explanation:

Given:Y square2 - 5 Y + k is the polynomial, and Y -3 is the factor of given polynomial. Then, Y-3=0 (it is the formula),Y=3+0, and at last Y= 3. Again , putting the value of y in the given polynomial . Then, Y square2 - 5 Y + k=0, (it is also the formula),(3)^2 - 5×3 + k=0,9 - 15 + k=0,-6+ k=0, therefore, k = 6.