Multiple each term in the first parentheses by each term in the second parentheses (FOIL)
(5x*4x) (5x*-2) (-4x*4) (-4*-2)
20x^2– 10x — 16x + 8
= 20x^2– 26x + 8
Answer:
One way to factor equation is to find the zeros. Its obvious that x=-1 is solution for this. So one factor is (x+1)
the next factor should include 2x at first (because we have 2x^2 in the equation which can not be made any other way)
Let's suppose the factor is (x+1)(2x+b)
Since we do not know what is b open the brackets 2x^2+bx+2x+b. If this is equal to 2x^2+5x+3 then b=3. We are left with (x+1)(2x+3)=2(x+1)(x+3/2)
Would go for other shorter solutions, but they require some deeper understanding like Horner's scheme,Fermat's Theorem or even deeper which I assume You will not understand)
The following inequality shown is 2) because the y-intercept is at 1/2 and the slope is negative. The graph is also shaded underneath so must include the values underneath the function
The period of oscillation of a pendulum is
Where L is the length of the pendulum and
the gravitational acceleration.
Re-arranging the formula and using T=1.0 s, we find the length of the pendulum:
2r + 6 > -24
Hope that helps :)