construct quadratic polynomial whose zeroes are -3/7 and -2/3
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Answer:
21x² + 23x + 6
Step-by-step explanation:
x = -3/7
=> 7x = -3
=> 7x + 3 = 0
So, the first factor is (7x+3).
x = -2/3
=> 3x = -2
=> 3x + 2 = 0
So, the other factor is (3x+2).
(7x+3)(3x+2)
= (7x)(3x) + (7x)(2) + (3)(3x) + (3)(2)
= 21x² + 14x + 9x + 6
= 21x² + 23x + 6
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