Answer:
Step-by-step explanation:
When we divide polynomials by polynomials with more than one term, we use long division or factorization to simplify.
This polynomial isn't easily divided after factorization so we will use long division. And we will use the remainder theorem to write any remainder.
We start long division by finding what multiplies with x+5 to get 
. This is 6x.
So 
. We have 6x left as a remainder from 36x.
We now divide x+5 into 6x+35. What multiplies with x+5 to get 6x+35? 6.
So we have 6x+6 as our answer so far and after we multiply 6(x+5)=6x+30 we will have a final remainder of 5.
We write our answer as .
If the equation x² + 16x + c = 0 has only one real solution, the value of c is equal to 64.
<h3>Discriminant: </h3>
The quadratic formula includes the discriminant, which comes after the square root. The discriminant of a quadratic equation is important because it indicates the quantity and kind of solutions.
The formula for the Discriminant of a Quadratic Equation ax²+bx +c = 0 is given by
<h3> Discriminant Δ = b² - 4ac </h3>
Here we have
x² + 16x + c = 0 equation has only one real solution
Compare given equation with ax²+ bx + c = 0
=> a = 1, and b = 16
As we know when an equation has only one real solution
then its Discriminant will be equal to zero
=> b² - 4ac = 0
By the above values,
=> 16² - 4(1)c = 0
=> 256 - 4c = 0
=> 4c = 256
=> c = 256/4
=> c = 64
Therefore,
If the equation x² + 16x + c = 0 has only one real solution, the value of c is equal to 64.
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Answer:
Step-by-step explanation:
x²+3x+2=0
x²+x+2x+2=0
x(x+1)+2(x+1)=0
(x+1)(x+2)=0
x=-1,x=-2
so B
10% as a decimal (a value between 0 and 1) is 0.1
last one is the right answer
