b. f(x) = (x – 7) (x – i) (x – 5) (x + i)
c. f(x) = (x – (7 – i)) (x – (5 + i)) (x – (7 + i)) (x – (5 – i))
d. f(x) = (x + (7 – i)) (x + (5 + i)) (x + (7 + i)) (x + (5 – i))
The polynomial function with a leading coefficient of 1 and roots (7 + i) and (5 – i) with multiplicity 1 is f(x) = (x + 7) (x – i) (x + 5) (x + i).
The polynomial function with a leading coefficient of 1 and roots (7 + i) and (5 – i) with multiplicity 1 is option a. f(x) = (x + 7) (x – i) (x + 5) (x + i). To understand why this is the correct answer, we first need to know that complex roots always appear in conjugate pairs, which means that if a + bi is a root, then a - bi is also a root. The given roots are (7 + i) and (5 – i), so the conjugate pairs are (7 – i) and (5 + i).
Therefore, the correct polynomial is obtained by multiplying the factors (x – (7 + i)), (x – (7 – i)), (x – (5 + i)), and (x – (5 – i)). This gives us f(x) = (x + 7) (x – i) (x + 5) (x + i), which is option a.
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HINT: You should have TWO equations; create one for each sentence description above.
Equation 1: j =
Equation 2: j =
The system of equations is j = e + 5 and j = 3e - 11 we can solve it using the substitution method.
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
Jamie is 5 yearsolder than Ella. Jamie's age is 11 years, less than three times Ella's age.
The system of equation can be written as:
j = e + 5
j = 3e - 11
Thus, the system of equations are j = e + 5 and j = 3e - 11 we can solve it using the substitution method.
Learn more about the linear equation here:
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y = x + 3
Linear graph and circle. They intersect at negative 3, 0 and 0, 3
Linear and a quadratic graph. They intersect at negative 3, negative 5 and 2, 0.
Linear and a quadratic graph. They intersect at negative 2, 0 and 1, 3.
Linear graph and circle. They intersect at negative 2, 0 and 0, 2.
Answer:
They intersect at (-3, 0) and (0, 3)
Step-by-step explanation:
took the test hope it helps