Answer:
B. 48
Step-by-step explanation:
just took the test <3
Elimination, Multiply the second equation by -1, then add the equations together.
Answer:
Step-by-step explanation:
If we divide 24 by 6, we get 4, which is the other factor of 24 when given the one factor of 6. Same goes here. In order to find out what the other factor of
is when given one factor of y - 4, we simply divide the second degree polynomial by y - 4 to get the quotient. The quotient, then, is the other factor. Synthetic division is the easiest way to do this.
If y - 4 is the factor, then by the Zero Product Property, y - 4 = 0 and y = 4. Setting up synthetic division:
4| 1 -10 24
____________
The rule is to start by bringing down the first term, multiplying it by the number outside, then putting that product up under the next term in line:
4| 1 -10 24
<u> 4 </u>
1
Then add the column, multiply the sum by the number outside, and put that product up under the next term in line:
4| 1 -10 24
<u> 4 -24</u>
1 -6
And add the last column and that is the remainder. We get a 0 remainder. That means that y - 4 goes evenly into the polynomial and the other factor we are looking for is found in the numbers under the addition line. These numbers are the leading coefficients of the depressed polynomial, the polynomial that serves as the other factor: 1y - 6.
Therefore, the 2 factors that multiply together to give us
are (y - 4)(y - 6) and we can check ourselves by multiplying this out by FOILing to see if the result is the polynomial we started with. It is, so we're all done!
Answer:
x = 5/2
or
x = -2
Step-by-step explanation:
recall that the roots of a function f(x) are basically the values of x that will make f(x) = 0,
we find these values of x by making f(x) = 0 and then solving the equation for x,
in our case,
f(x) = -3(2x – 5)(x + 2)
to find roots,
f(x) = 0
-3(2x – 5)(x + 2) = 0
Equating each factor = 0, the equation can be broken down into:
-3 = 0 (obviously not valid, hence we can ignore this)
or
(2x – 5) = 0 add 5 to both sides
2x = 5 divide both sides by 2
x = 5/2 ( Answer)
or
(x + 2) = 0 subtract 2 from both sides
x = -2 (Answer)