Question

for what value of P x=b is a zero of the polynomial x2-(a+b)x+a(p-2b)

Answer 1

Answer:

For p = 3·b , x = b is the zero of the given polynomial.

Step-by-step explanation:

Zero of a polynomial : A number is said to be zero of a polynomial function if the value of polynomial function at that number or value is equal to 0.

Now, the polynomial function is : x² - (a+b)·x + a·(p - 2·b)

And, x = b is a zero of the given polynomial function.

So, the value of polynomial function at x = b is equal to 0

⇒ b² - (a+b)·b + a·(p - 2·b) = 0

⇒ b² - a·b - b² + a·p - 2·a·b = 0

⇒ a·p = 3·a·b

⇒ p = 3·b

Hence, for p = 3·b , x = b is the zero of the given polynomial.

Answer 2

Step-by-step explanation:

this is the most simplest method

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