Trevor is studying a polynomial function f(x). Three given roots of f(x) are –7, 2i, and 7. Trevor concludes that f(x) must be a polynomial with degree 3. Which statement is true?

P(x) = x³-2ix² - 49x + 98i

Step-by-step explanation:

If the roots of the polynomial P(x) are -7, 2i and 7 then the factors of the polynomial in x is expressed are respectively (x+7), x-2i and x-7

Multiplying the factors together to get the required polynomial function:

P(x) = (x+7)(x-7)(x-2i)

P(x) = (x²-7x+7x-49)(x-2i)

P(x) = (x²-49)(x-2i)

P(x) = x²(x)-x²(2i) - 49x -49(-2i)

P(x) = x³-2ix² - 49x + 98i

Hence the polynomial function with degree 3 is P(x) = x³-2ix² - 49x + 98i

15

step-by-step explanation:

we are given the following expression and we are to solve it and find the product:

-13 × (-5)

solving the given expression in the standard order of solving a mathematical expression, beginning with the opening of brackets and then multiplying the terms and changing their signs.

-3 × -5 = 15 (answer is positive because when negative is multiplied with negative, it gives a positive answer)

the answer is 48m^2!

step-by-step explanation: