find the quadric polynomical whose zeroes are 4 and -2
Answers
Answered by
15
Given:
• Zeroes of the quadratic polynomial are 4 and -2
To find :
• Quadratic polynomial .
Solution :
• As we know that :
Quadratic polynomial = x^2-(sum of zeroes)x+ product of zeroes
=> p(x) = x^2 -(4+(-2))x+(4)(-2)
=> p(x) = x^2 -2x-8
Hence the polynomial is x^2-2x-8
Anonymous:
Perfect :)
Answered by
45
Answer:
x² - 2x - 8 = 0
Step-by-step explanation:
Given that, The zeroes of quadratic polynomial is 4 , - 2 .
As we know that,
Quadratic polynomial = x²- ( sum of zeroes)x + (product of zeroes) = 0
=> P(x) = x² - [( 4 +(-2)]x + (4 × - 2) = 0
=> P(x) = x² - 2x +(-8) = 0
=> P(x) = x² - 2x - 8 = 0
Therefore, the polynomial is x² - 2x - 8 = 0.
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