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Sia ? 5 years, 5 months ago
Let p(x) = x3 + 13x2+ 32x + 20
p(-1) = (-1)3 + 13(-1)2 + 32(-1) + 20
= -1 + 13 - 32 + 20 = 0
∴ By Factor Theorem, x - (-1), i.e., (x + 1) is a factor of p(x).
x3 + 13x2 + 32x + 20
= x2(x + 1) + 12x(x + 1) + 20(x + 1)
= (x + 1)(x2 + 12x + 20)
= (x + 1)(x2 + 2x + 10x + 20)
= (x + 1){x(x + 2) + 10(x + 2)}
= (x + 1)(x + 2)(x + 10).
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Aanya Jain 5 years, 5 months ago
Posted by Rashmi K Rashmi K 5 years, 5 months ago
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Yogita Ingle 5 years, 5 months ago
(3x+4y)(8x-3y)
= 3x (8x - 3y) + 4y (8x - 3y)
= 24x2 - 9xy + 32xy - 12y2
= 24x2 + 23xy - 12y2
Posted by Chinmai Jonnala 5 years, 5 months ago
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Yogita Ingle 5 years, 5 months ago
101 × 99
= (100 + 1) (100 - 1)
= (1002 - 12 ) (because a2 - b2 = (a - b) (a+b))
= 10000 - 1
= 9999
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Sia ? 5 years, 5 months ago
The coordinates of the point whose ordinate is 4 and which lies on y-axis are (0, 4).
Posted by Malkeet Singh 5 years, 5 months ago
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Navin Sah 5 years, 5 months ago
1Thank You