3x^2-x=10

Find factors

Determine zeros

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