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    Question

    Find the HCF of 15x2 + 8x – 12, 3x² + x

    – 2, 3x² - 2x, 9x² - 12x + 4
    A 3x-4 Correct Answer Incorrect Answer
    B x-2 Correct Answer Incorrect Answer
    C 3x-2 Correct Answer Incorrect Answer
    D x-4 Correct Answer Incorrect Answer

    Solution

    1. 15x2 + 8x – 12 = 15x2 +18x-10x-12 =3x(5x+6)-2(5x+6) =(5x+6) (3x-2) 2. 3x² + x – 2: 3x2+3x-2x-2 3x(x+1)-2(x+1) =(x+1) (3x-2) 3. 3x² - 2x = x(3x-2)   4. 9x² - 12x + 4 9x2 -6x-6x+4 =3x(3x-2)-2(3x-2) =(3x-2) (3x-2) Now we can see in all equations (3x-2) is the common factor, so it will be HCF

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