Question

what should be added to the polynomial x2 -5x+4 so that 3 is a zero of the polynomial.

Answer 1

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 $f(x)= x^2 -5x+4$ and  the number which is to be added is assumed to be $a$.

According to the given problem,

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

$\begin{array} { c } { f ( 3 ) = 3 ^ { 2 } - 5 \times 3 + 4 + a = 0 } \\\\ { 9 - 15 + 4 + a = 0 } \\\\ { 13 - 15 + a = 0 } \\\\ { - 2 + a = 0 } \\\\ { a = 2 } \end{array}$

Hence, the number to be added is 2.

Answer 2

Step-by-step explanation:

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