please answer this question Q7 and Q8
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Question 7
- True or False : 2 is one zero at p(x) = x² - 6x + 8 polynomial.
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Answer -
- True
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Explanation :-
- Put x = 2
➝ p(x) = x² - 6x + 8
➝ p(2) = (2)² - 6(2) + 8
➝ p(2) = 4 - 12 + 8
➝ p(2) = 12 - 12
➝ p(2) = 0
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Thus, 2 is one zero of the given polynomial.
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Question 8
- True or false : If 3 is one zero at p(x) = x² - 11x + k then k = 24.
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Answer -
- True
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Explanation :-
- Put x = 3
➝ p(x) = x² - 11x + k
➝ p(3) = (3)² - 11(3) + k
➝ p(3) = 9 - 33 + k
➝ p(3) = k - 24
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It is given that 3 is a zero of polynomial, then
- put p(3) = 0
➝ k - 24 = 0
➝ k = 24
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Thus, value of k is 24.
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