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MATHEMATICS

JAMB 2015 - Question 4

Mathematics 2015 JAMB Past Questions - Question 4: Factorize 2y² -15xy+18x²

Factorize 2y² -15xy+18x²

A: (2y-3x)(y-6x)

B: (2y-3x)(y+6x)

C: (2y+3x)(y-6x)

D: (3y+2x)(y-6x)

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Correct Answer

Explanation

2y² -15xy+18x² 2y-3xy -6x=(2y-3x)(y-6x)To factorize the expression 2y² - 15xy + 18x², we can look for two binomials in the form (ay + bx)(cy + dx) that multiply to give us the original expression.The factors of 2y² are 2y and y.The factors of 18x² are 3x and 6x.We need to find two numbers that multiply to give 2 * 18 = 36 and add to give -15 (the coefficient of the middle term, -15xy). These numbers are -12 and -3.So, we can factorize 2y² - 15xy + 18x² as follows:2y² - 12xy - 3xy + 18x²2y(y - 6x) - 3x(y - 6x)(2y - 3x)(y - 6x)Therefore, the factorization of 2y² - 15xy + 18x² is (2y - 3x)(y - 6x).