brendanholly123
05.02.2021 •
Mathematics
Natasha says the point on the number line represents ? + 0 1 2 What mistake did Natasha make? OA) She forgot to count the first division line at 0. B) She used the wrong number for the numerator. O c) She thought the number line went from 0 to 1. OD) She thought there were 2 points on the number line.
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Ответ:
The fully factored form of the function f(x) is : (x+5)(x-1)(x-3)
Step-by-step explanation:
Given function f(x)= x³+x²-17 x+15 is a third degree polynomial. Hence, it will have 3 zeros.
Also, (x+5) is the factor of given function.
⇒(x+5) divides the function f(x).
∴ (x³+x²-17 x+15) ÷ (x+5) = (x²-4 x+3) (1)
Now, we will factorize x²-4 x+3 to get other zeros of the function f(X).
x²-4 x+3 ⇔ x²-3 x-x+3
⇔ x(x-3)-1(x-3) ⇔ (x-1)(x-3) (2)
hence, x²-4 x+3 ⇔ (x -1)(x-3)
From, equation (1),(2) the factors of f(x) = x³+x²-17 x+15 are (x -1)(x-3)(x-5)