Prepare a report about the working procedures of the red crescent in UAE.
Answers
Answer:
Answer :
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Value of a and b for the given polynomial is -2 and -6.
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Explanation :
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Given :
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Zeroes of the quadratic polynomial x² + (a + 1)x + b are 2 and -3.
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To Find :
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Value of a and b?
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Solution :
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We clearly know that, for finding a quadratic polynomial with sum of zeroes = S and product of zeroes = P, equation is given by : p(x) = x² - Sx + P, on comparing this equation with given polynomial we easily understand that (a + 1) is written in place of sum of zeroes S and b is written in place of product of zeroes P. So, we have sum of zeroes = (a + 1) and product of zeroes = b. Also, zeroes are given to us. So, firstly let's find sum of zeroes and product of zeroes of given polynomial.
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⚝ Finding sum of zeroes :
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➥ ⠀Sum of zeroes = 2 + (-3)
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➥ ⠀Sum of zeroes = 2 - 3
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➥ ⠀Sum of zeroes = -1
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⚝ Finding product of zeroes :
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➥ ⠀Product of zeroes = 2 × (-3)
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➥ ⠀Product of zeroes = -6
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Also, we have sum of zeroes and product of zeroes = (a + 1) and b.
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Therefore,
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➥⠀ a + 1 = -1
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➥⠀ a = -1 - 1
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➥ ⠀a = -2
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Also,
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➥⠀ b = -6
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Therefore, value of a and b for the given polynomial is -2 and -6.
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Learn more on brainly :
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❏ Questions :
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Q.1 :
If alpha and beta are the zeroes of polynomial p(x) = x² - 7x + 10, find the quadratic polynomial with zeroes (-alpha) and (-beta).
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Q.2 :
Find a quadratic polynomial whose sum of zeros is 9/2 and product of zeros is 2.
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Q.3 :
Find zeroes of the quadratic polynomial 4x² - x - 5 and verify relationship between it's zeroes and coefficients.
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❏ Answers :
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A.1 :
https://brainly.in/question/42822704
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A.2 :
https://brainly.in/question/43027706
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A.3 :
https://brainly.in/question/42964609
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