Answer:
a=3
b=24
Step-by-step explanation:
If is a factor of , then the factors of must also be factors of .
So what are the factors of ? Well the cool thing here is the coefficient of is .
The zeros of are therefore x=-4 and x=3. We know those are zeros of by the factor theorem.
So x=-4 and x=3 are also zeros of because we were told that was a factor of it.
This means that when we plug in -4, the result will be 0. It also means when we plug in 3, the result will be 0.
Let's do that.
Equation 1.
Equation 2.
Let's simplify Equation 1 a little bit:
Let's simplify Equation 2 a little bit:
So we have a system of equations to solve:
16a-b=24
9a-b=3
---------- This is setup for elimination because the b's are the same. Let's subtract the equations.
16a-b=24
9a-b= 3
------------------Subtracting now!
7a =21
Divide both sides by 7:
a =3
Now use one the equations with a=3 to find b.
How about 9a-b=3 with a=3.
So plug in 3 for a.
9a-b=3
9(3)-b=3
27-b=3
Subtract 27 on both sides:
-b=-24
Multiply both sides by -1:
b=24
So a=3 and b=24
Answer:
Alternate interior angle to angle 3 is angle 6.
Alternate exterior angle to angle 7 is angle 2.
Step-by-step explanation:
Interior means inside and alternate means opposite, so you look for the angle that is inside and opposite of the angle.
Exterior means outside, and alternate means opposite, so you look for the angle that is outside and opposite of the angle.
Answer:
who else got four
Step-by-step explanation:
Answer:
no it is really easy question to answered so do it your self
Answer: 3x^3+2x+5
Step-by-step explanation:
I attached my written work but put simply take the value of x which in this case is -2 because x+2 also means x= -2. Then line up the coefficients next to -2 which should be in a box. So the coefficients 3, 6, 2, 9, and 10. Drop the first coefficient down which is 3 and multiply it by your x value. so the combo is multiply, add, drop. starting with 3 drop it down then multiply it by -2 to get -6. Then add -6 to the second coefficient which is 6 to get 0 so drop zero down. Then again multiply 0 by -2 to get 0 then add zero to 2 to get 2 then drop down 2. So continue till the end remmebr the only multiplication you are doing is against the x value which in this case is -2. at the end you should have 5 numbers left. Here we end with 3, 0, 2, 5, 0. So we want a zero as the last number which means we have no remainder. If the last number is not zero do not PANIC. just kidding but seriously though relax. Put the number over your expression x+2 so for example if the last number was 5 instead of zero DONT PANIC just finish your answer with 5/x+2. SO back to the 3, 0, 2, 5, 0. We add the corresponding x's to these numbers so which also equals