Question

find the quadratic polynomial whose zeroes are 1/4,-1
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Answer 1

Answer:

4x² + 3x - 1

Step-by-step explanation:

x² - (Sum of zeros)x + (Product of zeros)

=> x² - (1/4 - 1)x + (1/4 × -1) = 0

=> x² - (-3/4)x + (-1/4) = 0

=> x² + 3/4x - 1/4 = 0

=> (4x² + 3x - 1) ÷ 4 = 0

=> 4x² + 3x - 1 = 0 × 4

=> 4x² + 3x - 1

Confirmation:

Sum of zeros = -b/a

=> 1/4 - 1 = -(3/4)

=> -3/4 = -3/4

Product of zeros = c/a

=> 1/4 × -1 = -1/4

=> -1/4 = -1/4