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MATHEMATICS

JAMB 2017 - Question 27

Mathematics 2017 JAMB Past Questions - Question 27: Find the factors of 2xsup2 + 5x - 3

Find the factors of 2xsup2 + 5x - 3

A: (x-2) (x-3)

B: (2x-1) (x+3)

C: (x+3) (x+3)

D: (x-2) (2x -1)

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Correct Answer

Explanation

To factor the quadratic expression 2x^2 + 5x - 3, we need to find two numbers that multiply to -6 (the product of the coefficient of x^2 and the constant term) and add to 5 (the coefficient of x).The two numbers are 6 and -1, because 6 * (-1) = -6 and 6 + (-1) = 5.Now we can factor the quadratic expression:2x^2 + 6x - x - 32x(x + 3) - 1(x + 3)(2x - 1)(x + 3)So, the factors of 2x^2 + 5x - 3 are (2x - 1) and (x + 3).