Question

What number should be added to the polynomial x2- 5x+ 4, so that 3 is the zero of the polynomial?
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Answer 1

Answer:

2

Step-by-step explanation:

if 3 is a zero

x^2-5x+4=0

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

9-15+4=0

-2

so 2 must be added so that  one of the zeroes of the polynomial will be 3

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Answer 2

Answer:

Step-by-step explanation:

Hi!!

let the number be n.

the new polynomial would be x^2 - 5x + 4 + n.

3 is a zero of x^2 - 5x + 4

p(3) = (3)^2 - 5(3) + 4 +n

0 = 9 - 15 + 4 + n

0 = 4 - 6 + n

0 = n - 2

n = 2

The number that should be added = 2

Hope it helps!!