Degree 3 polynomial with integer coefficients with zeros 7i and 9/5 Write it as a polynomial

Using the factor theorem, the polynomial is given by:

The Factor Theorem states that a polynomial function with roots is given by:

In which a is the leading coefficient.

In this problem:

Then, considering a leading coefficient of 1:

Multiplying by 5:

A similar problem is given at link

f(x) = 5x^3 - 9x^2 + 245x - 441.

Step-by-step explanation:

Complex zeros are in conjugate pairs so the third zero is -7i.

In factor form we have:

f(x) = (x - 7i)(x + 7i)(5x - 9)

= (x^2 - 49i)^2)(5x - 9)

= (x^2 + 49)(5x - 9)

= 5x^3 - 9x^2 + 245x - 441.

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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answers

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step-by-step explanation:

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

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