Find a quadratic polynomial, the sum of whose zeroes are -1/4 and 1/4 respectively.
Answers
Answered by
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AnsWer :
4x² + x + 1.
To FinD :
Quadratic Polynomial.
SolutioN :
Let's,
- S Sum of Zeros.
- P Products of Zeros.
- K Constant term.
⦾K[x² + Sx + P ]
☛ Sum of Zeros.
a + b = - 1 / 4.
☛ Product of Zeros.
a * b = 1 /4.
★ Now, Putting the given value.
→ K[ x² - ( -1/4 )x + 1 /4]
→ K[ 4x² + x + 1 ]
Therefore, the our Quadratic Polynomial become 4x² + x + 1.
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