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If P is a root of the equation X3 +10X2 + 16X, than which of the following equations have also the root P ?
- a)X2 – 10X +16
- b)X + 8
- c)X2 +3X – 54
- d)X2 – 6X – 187
- e)X2 + 8X - 20
Correct answer is option 'B'. Can you explain this answer?
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If P is a root of the equation X3 +10X2 + 16X, than which of the follo...
The best answer is B.
The original equation is X3 +10X2 + 16X, it can be written as X(X + 8)(X + 2). The roots are (-8),0 and (-2).
The original equation is X3 +10X2 + 16X, it can be written as X(X + 8)(X + 2). The roots are (-8),0 and (-2).
We are looking for an equation that has one of the same roots.
Answer B: X + 8 à This equation has the root (-8).
All the other answers have different roots than the original equation.
Most Upvoted Answer
If P is a root of the equation X3 +10X2 + 16X, than which of the follo...
To determine if a given equation has the root P, we can substitute P into the equation and see if it equals zero.
Substituting P into the equation X^3 + 10X^2 + 16X:
P^3 + 10P^2 + 16P = 0
a) X^2 + 10X + 16:
Substituting P into this equation:
P^2 + 10P + 16 = P(P + 10) + 16
Since P(P + 10) + 16 = 0 (from the original equation), this equation also has the root P.
Therefore, the answer is a) X^2 + 10X + 16.
Substituting P into the equation X^3 + 10X^2 + 16X:
P^3 + 10P^2 + 16P = 0
a) X^2 + 10X + 16:
Substituting P into this equation:
P^2 + 10P + 16 = P(P + 10) + 16
Since P(P + 10) + 16 = 0 (from the original equation), this equation also has the root P.
Therefore, the answer is a) X^2 + 10X + 16.
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If P is a root of the equation X3 +10X2 + 16X, than which of the following equations have also the root P ?a)X2 – 10X +16b)X + 8c)X2 +3X – 54d)X2 – 6X – 187e)X2 + 8X - 20Correct answer is option 'B'. Can you explain this answer?
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If P is a root of the equation X3 +10X2 + 16X, than which of the following equations have also the root P ?a)X2 – 10X +16b)X + 8c)X2 +3X – 54d)X2 – 6X – 187e)X2 + 8X - 20Correct answer is option 'B'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If P is a root of the equation X3 +10X2 + 16X, than which of the following equations have also the root P ?a)X2 – 10X +16b)X + 8c)X2 +3X – 54d)X2 – 6X – 187e)X2 + 8X - 20Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If P is a root of the equation X3 +10X2 + 16X, than which of the following equations have also the root P ?a)X2 – 10X +16b)X + 8c)X2 +3X – 54d)X2 – 6X – 187e)X2 + 8X - 20Correct answer is option 'B'. Can you explain this answer?.
If P is a root of the equation X3 +10X2 + 16X, than which of the following equations have also the root P ?a)X2 – 10X +16b)X + 8c)X2 +3X – 54d)X2 – 6X – 187e)X2 + 8X - 20Correct answer is option 'B'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If P is a root of the equation X3 +10X2 + 16X, than which of the following equations have also the root P ?a)X2 – 10X +16b)X + 8c)X2 +3X – 54d)X2 – 6X – 187e)X2 + 8X - 20Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If P is a root of the equation X3 +10X2 + 16X, than which of the following equations have also the root P ?a)X2 – 10X +16b)X + 8c)X2 +3X – 54d)X2 – 6X – 187e)X2 + 8X - 20Correct answer is option 'B'. Can you explain this answer?.
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