MATHEMATICS

JAMB 2009 - Question 13

Mathematics 2009 JAMB Past Questions - Question 13: A polynomial in x whose roots are 4/3 and -3/5 is .

A polynomial in x whose roots are 4/3 and -3/5 is .
A:
B:
C:
D:
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Correct Answer

A

Explanation

(x-4/3) (x+3/5)= (3x-4)/3 ( 5x+3)/5 = 15x² = 11x 12To find the polynomial with roots 4/3 and -3/5, we can use the fact that if a polynomial has a root at a certain value, then the polynomial can be factored by (x - root).Given the roots 4/3 and -3/5, the polynomial can be factored as:(x - 4/3)(x - (-3/5))Simplifying the expression:(x - 4/3)(x + 3/5)Expanding the expression:x² + (3/5)x - (4/3)x - (4/3)(3/5)x² + (15/25)x - (20/15)x - (12/15)x² + (15x - 20x)/25 - 12/15x² - (5/25)x - 12/15x² - (1/5)x - 4/5Therefore, the polynomial with roots 4/3 and -3/5 is x² - (1/5)x - 4/5.