Q. 44.0( 3 Votes )
In each of the following, use factor theorem to find whether polynomial g(x) is a factor of polynomial f(x) or, not:
f(x) = x3-6x2-19x+84, g(x) = x-7
Answer :
We have,
f(x) = x3-6x2-19x+84 and g(x) = x-7
In order to find whether g (x) = x – 7 is a factor of f (x) or not, it is sufficient to show that f (7) = 0
Now,
f(x) = x3-6x2-19x+84
f (7) = (7)3 – 6 (7)2 – 19 (7) + 84
= 343 – 294 – 133 + 84
= 0
Hence, g (x) is a factor of f (x).
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PREVIOUSIn each of the following, use factor theorem to find whether polynomial g(x) is a factor of polynomial f(x) or, not:f(x) = x5+3x4-x3-3x2+5x+15, g(x) = x+3NEXTIn each of the following, use factor theorem to find whether polynomial g(x) is a factor of polynomial f(x) or, not:f(x) = 3x3+x2-20x+12, g(x) = 3x-2
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