Question

find a quadratic polynomial whose sum and product of zeroes are -1 and -6 respectively​

Answer 1

Answer:

x² - x + 6

Step-by-step explanation:

Sum of zeroes= (-1)...[alpha+beta]

Product of zeroes=6...[alpha(beta)]

We can find the quadratic polynomial by the following formula,

x² -(alpha+beta)x + [alpha(beta)]

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Now,by applying the above formula we'll find the quadratic polynomial:-

• x² -(alpha+beta)x + [alpha(beta)]
• x² - (-1)x + 6
• x² + 1x + 6 or x² + x + 6

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