What number should be added to polynomial x^2-5x+4 so that 3 is the zero of polynomial?

John Noble

John Noble

Answered question

2022-12-26

What number should be added to polynomial x 2 5 x + 4 so that 3 is the zero of polynomial?

Answer & Explanation

Anabel Phillips

Anabel Phillips

Beginner2022-12-27Added 6 answers

Let k be added to the polynomial.
Given Equation is p ( x ) = x 2 5 x + ( 4 + k ).
If the polynomial's zero is 3, the equation will change to 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.

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

Hope this helps.

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