Answer:
m=12
Explanation:
Given any quadratic function, y=ax²+bx+c.
We can determine the nature of the roots of such quadratic function by examining the discriminant, D where:

• If D>0, the roots are real and unequal.
,
• If D=0, the roots are real and equal.
,
• If D<0, the roots are complex.
In our given equation:

For the function to have exactly one zero, the value of D=0.

The value of m for which the function will have one zero is 12.
There are many polynomials that fit the bill,
f(x)=a(x-r1)(x-r2)(x-r3)(x-r4) where a is any real number not equal to zero.
A simple one is when a=1.
where r1,r2,r3,r4 are the roots of the 4th degree polynomial.
Also note that for a polynomial with *real* coefficients, complex roots *always* come in conjugages, i.e. in the form a±bi [±=+/-]
So a polynomial would be:
f(x)=(x-(-4-5i))(x-(-4+5i))(x--2)(x--2)
or, simplifying
f(x)=(x+4+5i)(x+4-5i)(x+2)^2
=x^4+12x^3+77x^2+196x+164 [if you decide to expand]
Answer:
=25x-7
Step-by-step explanation:
X=2
Reason why is because 1+1 is 2 and X is what your product is
<em>Question:</em>
<em>At the beginning of the months, a consumer had $437.52 of in his bank account. During which he made deposits of $80, $256 and $217.14 and write checks of $115.98 and $108.90 - What balance left?
</em>
<em></em>
Answer:
The customer's balance is $765.78
Step-by-step explanation:
Given
Start Amount = $437.52
Deposits = $80, $256 and $217.14
Withdrawals (Checks) = $115.98 and $108.90
Required
Determine his balance
We start by calculating the total deposits made by the customer


Next, we calculate the total withdrawals (checks)


At this point, we can now calculate the customer's balance as follows;



<em>Hence, the customer's balance is $765.78</em>