Question

3. Find a quadratic polynomial with the given

number as the sum and product of its zeroes

4 , 1​

Answer 1

Answer:

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Answer 2

Answer :-

Given :-

• Sum of roots = 4
• Product of roots = 1

To Find :-

• Quadratic Polynomial

Solution :-

We know that,

Sum of roots of quadratic polynomial = -b/a

Product of roots = c/a

So,

→ -b/a = 4

→ c/a = 1

Let the value of a be 1

→ -b = 4

→ b = -4

→ c = 1

Hence,

→ a = 1 , b = -4 and c = 1

So, quadratic polynomial = x² - 4x + c