Answer:
So the roots of the polynomial are -7 , 4 , 2
Step-by-step explanation:
Given the polynomial in the question
5x³ + 5x² - 170x + 280
One of the factor of this polynomial is (x + 7)
By using remainder theorem
5x²-30x+40
-----------------------------------
x+7 | 5x³ + 5x² - 170x + 280
5x³ + 35x²
----------------------------
-30x² -170x + 280
-30x² -210x
------------------
40x + 280
40x + 280
----------------
0
So the polynomial we have is
5x²- 30x + 40
divide by 5
x² - 6x + 8
(x-4)(x-2)
So the roots of the polynomial are -7 , 4 , 2
Answer:
13013
Step-by-step explanation:
Express each number in terms of the product of prime numbers.
91 = 7 × 13
143 = 11 × 13
169 = 13 × 13
Now consider the maximum number of times each factor occurs for each number.
The factor 7 occurs once
The factor 11 occurs once
The factor 13 is repeated twice ( maximum number of times for 1 number )
Thus LCM = 7 × 11 × 13 × 13 = 13013
The correct answer to this question is
D - 5 1/4
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