Answer:
Step-by-step explanation:
Since the divisor of 
is in the form of 
we use what is called Synthetic Division. Now, in this formula, −c gives the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:
4| 1 1 −17
↓ 4 20
_________
1 5 3 →
You start by placing the <em>c</em> in the top left corner, then list all the coefficients of your dividend [x² + x - 17]. You bring down the original term closest to <em>c</em> then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an x, the 5 follows right behind it, and bringing up the rear, 
giving you the quotient of 
However, in this case, since you have a remainder of 3, this gets set over the divisor.
I am joyous to assist you anytime.
that's the solution of the system
Answer:
-4,2
Step-by-step explanation:
(x-2) (x+4)=0
x-2=0
x=2
x+4=0
x= -4
Answer:
Step-by-step explanation:
a). Let the missing term = a
(a + 7) + (2x - 6) = -4x + 1
(a + 2x) + (7 - 6) = -4x + 1
(a + 2x) + 1 = -4x + 1
(a + 2x) = -4x
a = -4x - 2x
a = -6x
So the equation is,
(-6x + 7) + (2x - 6) = -4x + 1
b). (a² + p + 1) - (q + 5a + r) = 4a² -2a + 7
I have assumed p, q and r are the variables at the blank spaces.
(a² - q) + (p - 5a) + (1 - r) = 4a² - 2a + 7
By comparing both the sides of the equation,
a²- q = 4a²
q = a² - 4a²
q = -3a²
p - 5a = -2a
p = -2a + 5a
p = 3a
1 - r = 7
r = 1 - 7
r = -6
So the equation will be,
(a² + 3a + 1) - (-3a² + 5a - 6) = 4a²- 2a + 7
3(2x+1)=2(x+1)+1
Step 1:Simplify both sides of the equation
(3)(2x)+(3)(1)=(2)(x)+(2)(1)+ -(distribute)
6x+3=2x+2+1
6x+3=(2x)+(2+1) -(Combine Like Terms)
6x+3=2x+3
Step 2: Subtract 2x from both sides
6x+3-2x=2x+3-2x
4x+3-3=3-3
4x÷4=0÷4
x=0
