Q. 4 B4.7( 3 Votes )

# Let us calculate the value of k for which g(x) will be a factor of the following polynomials f(x).f(x) = kx2 – 3x + k and g(x) = x – 1

Formula used.

If f(x) is a polynomial with degree n

Then (x – a) is a factor of f(x) if f(a) = 0

1st we find out zero of polynomial g(x)

x – 1 = 0

x = 1

if x – 1 is factor of f(x) = kx2 – 3x + k

then f(1) = 0 ;

f(1) = k(1)2 – 3(1) + k = 0

= k – 3 + k

2k – 3 = 0

k = Conclusion.

if (x – 1) is factor of f(x) then k = – Rate this question :

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