Question

12. What should we added to the polynomial x?-8x+6 so that 4 becomes the zero of the polynomial.​

Answer 1

Answer:

answer = nil (( zero )).

Answer 2

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)=x

2

−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{gathered}\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{gathered}

f(3)=3

2

−5×3+4+a=0

9−15+4+a=0

13−15+a=0

−2+a=0

a=2

Hence, the number to be added is 2