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Yogita Ingle 5 years, 2 months ago
The two theorems are basically use the same principles. The difference is:
-In remainder theorem, in a polynomial f(x), when you divide the f(x) by the binomial (a-x), the remainder is equal to the f(a). This saves you from doing the long division as you only substitute the x for a.
-The factor theorem, on the other hand, tells us that the binomial (x-a) is the factor of the polynomial f(x) when after the substitution for x with a gives a zero.
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Yogita Ingle 5 years, 2 months ago
(x + a) (x + b) = x(x + b) + a (x + b)
= x2 + xb + xa + ab
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Determine if the points (1, 5), (2, 3) and (– 2, – 11) are collinear
<hr />Let the given points be A( 1, 5), B(2, 3) and C(-2, -11). Then
Here, we see that AB + BC ≠ AC, BC + AC ≠ AB and AB + AC ≠ BC.
Hence, the points A, B and C are not collinear. . . . .l l.. . . . . . . . . . . . . l.
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Yogita Ingle 5 years, 2 months ago
If any two angles and side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle, then the two triangles are said to be congruent by ASA rule.
In above given figure, ∠ B = ∠ Q, ∠ C = ∠ R and sides between ∠ B and ∠ C , ∠ Q and ∠ R are equal to each other i.e. BC= QR, hence Δ ABC ≅ Δ PQR.
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