Question

X + 1 is the factor of 5 x square - 3 x + K then

Answer 1

Step-by-step explanation:

k=-8

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Answer 2

Step-by-step explanation:

Given polynomial=p(x)=5x²-3x+KGiven divisor=(x+1)

we know that

Facor theorem:-

Let p(x) be a polynomial of the Degree is greater than 1 and (x-a) is a linear polynomial ,if p(a)=0 then (x-a) is a factor of p(x) vice versa.

If (x+1) is a factor of p(x) then p(-1)=0

=>p(-1)=5(-1)²-3(-1)+K=0

=>5(1)+3+K=0

=>5+3+K=0

=>8+K=0

=>K=-8

The value of K=-8