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If the zeroes of the polynomial x^2 + px + q are double in value to the zeroes of 2x^2 - 5x -3, find the value of p |
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Answer» ong>Answer p = -5, q = -6
Step-by-step explanation:
2x²-5x-3 = 2x²-6x+x-3
= 2x(x-3)+1(x-3)
= (x-3)(2x+1)
Hence, the zeros of 2x²-5x-3 are -1/2 and 3.
Zeros of the POLYNOMIAL x²+px+q are DOUBLE in value to -1/2 and 3,
Thus zeros are -1 and 6.
Now, quadratic EXPRESSION with zeros -1 and 6 is given by
(x + 1)(x-6) = x²-5x-6. By comparison, p = -5 and q = -6.
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