If k is a zero of the polynomial, p(x)= 4x^2 -7x + 3, find the values of k.
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4x² - 7x + 3 = 4x² - 4x - 3x + 3 = 4x(x - 1) -3(x - 1) = (4x-3) * (x-1)
∴zeroes can be 3/4 or 1
∴ k = 3/4 or k = 1
∴zeroes can be 3/4 or 1
∴ k = 3/4 or k = 1
swapy2911:
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if k is the zero of the polynomial then
p(k)=0
4k^2-7k+3=0
4k^2-4k-3k+3=0
4k(k-1)-3(k-1)=0
(k-1)(4k-3)=0
k-1=0 or 4k-3=0
k=1 or 4k=3
k=1 or k =3/4
p(k)=0
4k^2-7k+3=0
4k^2-4k-3k+3=0
4k(k-1)-3(k-1)=0
(k-1)(4k-3)=0
k-1=0 or 4k-3=0
k=1 or 4k=3
k=1 or k =3/4
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