Answer:
k = 5
Step-by-step explanation:
I will assume that your polynomial is
x^2 - 3x^2 + kx + 14
If x - a is a factor of this polynomial, then a is a root.
Use synthetic division to divide (x - 2) into x^2 - 3x^2 + kx + 14:
2 / 1 -3 k 14
2 -2 2k - 4
-------------------------------------
1 -1 (k - 2) 2k - 10
If 2 is a root (if x - 2 is a factor), then the remainder must be zero.
Setting 2k - 10 = to zero, we get k = 5.
The value of k is 5 and the polynomial is x^2 - 3x^2 + 5x + 14
Just take away 1 from the digit above and add 10 to regroup.
y = (x^2 + 26x) +160 complete the square
y = (x^2 + 26x ) + 160
Split our the constant and use the (b/2)^2
y = (x^2 + 26x + (26/2)^2 ) + 160 - (26/2)^2
since I am adding the new value I must subtract it from the end to keep the balance
y = (x^2 + 26x + 169) + 160 - 169
Now factor parenthesis and combine like terms
y = (x+13)^2 -9 its in the vertex form
Answer:
-54
Step-by-step explanation:
x-18=-72
x=-72+18
x=-54
Answer:
20
Step-by-step explanation:
16 is 80% of 20
