2009
Mathematics
67ca00ce0c643c71d77dee1f
A polynomial in x whose roots are 4/3 and -3/5 is?
A.
15x2 - 11x – 12
B.
15x2 + 11x – 12
C.
12x2 - x – 12
D.
12x2 + 11x – 15
Correct Answer: 15x2 - 11x – 12
Explanation
If 4/3 and -3/5 are roots of a polynomial Imply x = 4/3 and - 3/5 3x = 4 and 5x = -3 ∴3x-4 = 0 and 5x+3 = 0 are factors (3x-4)(5x+3) = 0 product of the factors 15x2 + 9x – 20x – 12 = 0 By expansion 15x2 - 11x – 12 = 0
If 4/3 and -3/5 are roots of a polynomial Imply x = 4/3 and - 3/5 3x = 4 and 5x = -3 ∴3x-4 = 0 and 5x+3 = 0 are factors (3x-4)(5x+3) = 0 product of the factors 15x2 + 9x – 20x – 12 = 0 By expansion 15x2 - 11x – 12 = 0THIS WEEK's
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