Question

14. What number should be added to the polynomial.x2-5x+4, so that 3 is a zero of
polynomial so obtained.​

Answer 1

Step-by-step explanation:

Let f(x)=x

2

−5x+4

substituting x = 3.

f(x)=3

2

−5(3)+4

= 9 - 15 + 4

= 13 - 15

= -2.

∴ 2 must be added to f(X) such that (x-3) is a factor of

f(x) .

please follow me

mark me as brainlist

Answer 2

Answer:

Let k be added to the polynomial.

Given Equation is p(x) = x^2 - 5x + (4 + k).

If 3 is the zero of the polynomial, then the equation will become p(3) = 0

p(3) = (3)^2 - 5(3) + (4+ k) = 0

9 - 15 + 4 + k = 0

6+4+ k = 0

-2 + k = 0

k= 2.

Therefore the number to be added to the polynomial is 2.

Request:

please thank my answer,

and mark me as brainliest.