Question

Find the values of m and n so that the polynomial p(x)=z²-mz²-13z+n has (z-1) and (z+3) as factors.​

Answer 1

Answer:  

Given:

A Cubic Polynomial is given as shown

Having Factors ( z-1 ) and ( z + 3 )

To Find:

The value of m and n in the given cubic Polynomial

Solution:

( z-1 ) and ( z+3 ) are the factors of P(x)

Then z = 1 and z = -3 must be it's zeros

Putting z = 1 in P(x)

-------(1)

---------(3)

Similarly putting z = ( -3 ) in p(x)

---------(4)

____________________________

Solving equation (3) and (4)

Multiplying by 9 in equation (3) and adding with equation (4)

Putting n= 15 in equation (3) we get

Step-by-step explanation: