Question

Find the constant k if 2 x -1 is a factor of f(x) = 4 x² +kx +1. Using this value of k, factorise f(x) completely

Answer 1

Answer:

Step-by-step explanatand f(x +k) for specific values of k (both positive and negative); find ... Know and apply the Remainder Theorem: For a polynomial p(x) and ... division by x - a is p(a), so p(a)=0 if and only if (x - a) is a factor of p(x) ... use the zeroes to construct a rough graph of the function defined by ... 5 - the constant term.ion:

Answer 2

Step-by-step explanation:

2x-1=0

x=1/2

put x=1/2

x2+kx+1=0

(1/2)2+1/2k+1=0

1/4+1/2k=-1

1/2k=-1-1/4

1/2k=-3/4

k=-3/4×2/1

k=-3/2