1.

To locate a point R on the line segment PQ such that PR=2/3PQ,the line segment PQ should be divided in what ratio?​

Answer»

Step-by-step explanation:

Given -

x+2 is a FACTOR of 5x²+kx+1

To Find -

value of K

As we know That :-

if x+2 is a factor of POLYNOMIAL then x = -2 is zero of that polynomial

➩ p(x) =5x²+ Kx + 1 = 0

➩ p(-2) = 5 (-2)² + k + 1 = 0

➩ 20 -2k + 1 = 0

➩ 2k = 21

➩ k = 21/2

Hence,

The value of k is 21/2

Verification :-

➩ 5x² + 21x/2 +1

➩ 10x² + 21x + 2

➩ 10x² + 20x + x + 2

➩ 10x(x+2) + 1(x+2)

➩ (10x+1) (x+2)

Here the factor, comes true same as given in the question.

It shows That our answer is ABSOLUTELY

correct.


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