9. p(x) = 7x² – 4√2x-6, g(x) = x – √2
10. p(x) = 2√2x² + 5x + √2, g(x) = x+√2
11. Show that (p – 1) is a factor of (p ka power 10 – 1) and also of (p ka power 11 - 1).
Please Solve these Questions.
Answers
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༆ ɑnswer ࿐
9 } Sol :— Given that
P (x) = 6x³ + 13x² + 3
g (x) = 3x + 2 = 0
:— 3x = 0 –2
3x = —2
x = —2/3
so, x = —2/3
put the value ...
p (—2/3) = 6 x (—2/3)³ + 13 x (—2/3)² + 3
= 6x —8/27 + 13 x 4/9 + 3
= —16/9 + 52/9 + 3/1
we will take LCM got = 9
= —16+52+27 / 9
= —16+79 / 9
= 63/8 Sol :— 7 Ans...
11 } Sol :— p(x) = 2x³+3x²—11x—3
g(x) = x + 1/2
:— x = —1/2
put the value ...
p(—1/2) = 2x (—1/2)³+ 3x (—1/2)²—11x (—1/2) —3
= 2x (—1/8) + 3x (1/4) —11x (—1/2) —3
= 2 x—1/8 + 3/4 — (—11) /2 —3
= —1/4 + 3/4 + 11/2 —3/1
we will take LCM got = 4
= —1 +3 +22 —12 / 4
= —1 +25 —12 / 4
= 24 — 12 / 4
= 12 / 4 Sol :— 3 Ans...
Hope it may help you...
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