Question

What should be added to the polynomial X square minus 5X +4 so that three is the zero of the given polynomial

Answer 1

Answer:

Answer:

The number to be added is 2.

To find:

Find out the number to be added to the given polynomial  

Solution:

Let us take f(x)= x^2 -5x+4f(x)=x2−5x+4 and  the number which is to be added is assumed to be aa .

According to the given problem,

For f(3)f(3) to be a zero of the polynomial, aa is to be added to the polynomial, that is,

\begin{lgathered}\begin{array} { c } { f ( 3 ) = 3 ^ { 2 } - 5 \times 3 + 4 + a = 0 } \\\\ { 9 - 15 + 4 + a = 0 } \\\\ { 13 - 15 + a = 0 } \\\\ { - 2 + a = 0 } \\\\ { a = 2 } \end{array}\end{lgathered}f(3)=32−5×3+4+a=09−15+4+a=013−15+a=0−2+a=0a=2

Hence, the number to be added is 2.