2x^2+px+6=(2x-a) (x-2) then write the the value of a & p .
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a = 3 and p = -7
Step-by-step explanation:
2x² + px + 6 = (2x - a) (x - 2)
suppose p = -7
∴ 2x² - 7x + 6 = (2x - a) (x - 2)
∴ 2x² - 4x - 3x + 6 = (2x - a) (x - 2) ( splitting -7 = -4 and -3)
∴ 2x ( x - 2 ) - 3 (x - 2) = (2x - a) (x - 2)
∴ (2x - 3 ) (x - 2) = (2x - a) (x - 2)
hence a = 3 and p = -7
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