Question

What should be added to the polynomial x² – 5x + 4, so that 3 is the zero of the resulting polynomial?
A. 1
B. 2
C. 4
D. 5

Answer 1

Answer:

B.2

hope it helps

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Answer 2

B. 2

Step-by-step explanation:

Let us take f(x) = x² – 5x + 4 and assume that the number to be added is a such that 3 is the zero of the resulting polynomial.

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

f(3) = 3² - 5(3) + 4 + a = 0

      9 - 15 + 4 + a = 0

      13 - 15 +a = 0

      -2 +a = 0

 Therefore a = 2

Option B is the answer.