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5 September, 19:35

3x^2-x=10

Find factors

Determine zeros

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Answers (1)
  1. 5 September, 21:14
    0
    Factors are (3x + 5) and (x - 2). Zeros are - 5/3 and 2.

    Step-by-step explanation:

    Step 1: Given quadratic equation 3x² - x = 10 ⇒ 3x² - x - 10 = 0 Step 2: Use factoring method (product and sum rule) to find factors and zeros. So the equation can be written as below.

    ⇒ 3x² - 6x + 5x - 10 = 0

    ⇒ 3x (x - 2) + 5 (x - 2) = 0

    ⇒ (3x + 5) (x - 2) = 0 These are the factors of the equation.

    Step 3: Find zeros by equating the factors to 0.

    ⇒ 3x + 5 = 0 and x - 2 = 0

    ⇒ x = - 5/3 and 2
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