The quadratic equation is in factored form, which is f(x) = (x - a)(x - b), where a and b are the x-values for the x-intercepts.
The x-values for the x-intercepts are 4 and -2. We know that the y-value at any x-intercept must be 0 (otherwise it isn't an x-intercept).
Thus, either the points (4,0) or (-2,0) must be your answer (the question is only asking for one x-intercept).
Step-by-step explanation:
<u>Step 1: Subtract 18 from both sides</u>
<u>Step 2: Divide both sides by 6</u>
Answer: 
Answer:
Step-by-step explanation:
It appears to be the last step there that has evaded you. In the second line of work, you can see that what's in each set of parenthesis is exactly the same. Because of this, it is common and can be factored out. What's left is the 4x and the +5:
(5x - 3)(4x + 5)
That's factoring by grouping. It only works with polynomials that have an even number of terms so you can group them together in 2's.
Answer:
x = - 4, x = - 
Step-by-step explanation:
To find the zeros let g(x) = 0, that is
(- 5x - 1)(2x + 8) = 0 ← in standard form
Equate each factor to zero and solve for x
- 5x - 1 = 0 ( add 1 to both sides )
- 5x = 1 ( divide both sides by - 5 )
x = 
= -
2x + 8 = 0 ( subtract 8 from both sides )
2x = - 8 ( divide both sides by 2 )
x = - 4
Thus
smaller x = - 4
larger x = -
