Question

16.Find the value of such that ( − 1) is the factor of the polynomial



3 + 10

2 + .​

Answer 1

Answer:

10 is correct answer

Step-by-step explanation:

hmm

Answer 2

Correct Question :

Find the value of p such that ( x - 1) is the factor is the polynomial ;

p(x) = x³ + 10x² + px - 2

Answer ;

The value of p is -9 .

Step - By - Step Explaination :

The given polynomial can be written as :

f(x) = x³ + 10x² + px - 2 ; p is a real number .

Now , ( x - 1) is a factor of p(x)

( x - 1) = 0

=> for x = 1 , the value of f(x) is 0

Hence :

=> p(1) = 0

=> ( 1)³ + 10 (1)² + p - 2 = 0

=> 1 + 10 + p - 2 = 0

=> 11 + p - 2 = 0

=> 9 + p = 0

=> p = -9

Thus, the value of p = -9 satisfies the given polynomial , so that x - 1 is a factor of it .

The polynomial becomes f(x) = x³ + 10x² -9x - 2

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