92054ggg
12.11.2019 •
Mathematics
Davide wants to find the zeros of the polynomial p(x)=x3−2x2−9x+18. his work is shown below.
step 1: p(x)=(x+3)(x−3)(x−2)
step 2: x+3=0
x−3=0x−2=0
step 3: x=2, x=3, x=−3
explain why davide’s work shows that 2, 3, and −3 are zeros of p(x) by matching each step with the appropriate justification.
step 1:
step 2:
step 3:
(a) davide solves for x in each of the equations from step 2. the zeros of a polynomial are the x -values for which p(x)=0 .
(b) davide gets rid of the x in each of the equations from step 2 by setting x=0 . the zeros of a polynomial occur when x=0 .
(c) davide factors the polynomial p(x) into linear factors using factoring by grouping and the difference of squares.
(d) davide factors the polynomial p(x) into linear factors using the difference of cubes method.
(e) davide sets each linear factor equal to 0 because the x -value for the zero of a polynomial is 0 .
(f) davide sets each linear factor equal to 0 because of the zero product property.
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Ответ:
10:40
Step-by-step explanation:
I believe the answer would be 10/40. First, I simplified all of the given rations. You do this by finding the two numbers greatest common factor. For example, 3/12, 3 goes into 3 once and 3 goes into 12 four times. So that ratio would be 1/4. If you continue the pattern you would get 1/4 for all of them. Therefore, 10/40 would be correct since it's ratio would also be 1/4.
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