Answer:
or 
is a factor of the given polynomial.
Step-by-step explanation:
Let us learn the concept with an example first.
Let the polynomial be a quadratic function 
.
The roots of are 2 and 3.
Putting 
Putting 
Putting x = 2 or x = 3, g(x) = 0 
The roots of equation g(x) are 2 and 3.
Now, let us try to factorize g(x):
so, the equation can be written as:
where 3 and 2 are the roots of equation.
The factors are (x-3) and (x-2).
for the polynomial f(x) which has roots 
will have a factor:
or
1 sq yrd = 9 sq. ft
so 30 sq. yards times 9 = 270 square feet
-"270 square feet"-
Answer:
4c+9d
Step-by-step explanation:
group together the twos to get four and the 3 and the 6 to get 9.
Answer: y = (x +2)² + 5
<u>Step-by-step explanation:</u>
y = a(x - h)² + k <em>where "a" is the leading coefficient and (h, k) is the vertex</em>
Since we don't know "a", we need to plug in the point (x, y) and the vertex (h, k) to solve for "a": (x, y) = (0, 9) and (h, k) = (-2, 5)
y = a(x - h)² + k
9 = a(0 - (-2))² + 5
9 = a(0 + 2)² + 5
9 = a(2)² + 5
<u>-5 </u> <u> -5 </u>
4 = a(4)
<u>÷4 </u> <u> ÷4 </u>
1 = a
Next, plug in "a" and the vertex (h, k):
y = a(x - h)² + k
y = 1(x +2)² + 5
y = (x +2)² + 5
Answer:
1
Step-by-step explanation:
To complete the square, first you must make sure that the coefficient of the x^2 term is 1. Here you have x^2 - 2x - 37 = 0. Since the x^2 term is simply x^2, you do have a coefficient of 1 for the x^2 term.
To find the number you need to add to complete the square, take the coefficient of the x term. Divide it by 2. Then square it.
The x term is -2x. The coefficient of the x term is -2.
Take half of -2 which is -1.
Now square -1 to get 1.
You need to add 1 to complete the square.
brainliest?!?!yes
