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
Answer:
Step-by-step explanation:
4x^3 + 7x^3 - 5x + 9x + 3 + 11 = 11x^3 + 4x + 14
Answer:
Option C
Step-by-step explanation:
Standard equation:
r^2 = (x-h)^2 + (y-k)^2
Radius: r
Center: (h,k)
Plug the values in.
r^2 = (x+8)^2 + (y-15)^2
Using distance formula, you conclude that the radius is 17 since the distance from (-8,15) to (0,0) is 17.
r^2 = 289
That means option C is the right answer.
289 = (x+8)^2 + (y-15)^2
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it is a right angle! the angle formed by perpendicular lines is a 90 degree angle.
Answer:
Using the prime factorization method, the lcm of 4 and 9 is 36.