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STatiana [176]
3 years ago
8

When the function f(x) = 2x^n + ax^2 - 6 is divided by (x - 1), the remainder is -7 and when divided by (x + 3), the remainder i

s 129.
Calculate the value of "a" and "n" and hence write the polynomial function completely.
Mathematics
2 answers:
hodyreva [135]3 years ago
5 0

Answer:

Step-by-step explanation:

From the fact that the remainder is -7 after we divide by x -1 , then we know that f(1) = -7. But f(1) = 2 + a - 6.

So 2 + a - 6 = -7

a - 4 = -7

a = 4 - 7

a = -3.

Also we know that when divided by x + 3 the remainder is 129. Hence f( -3) = 129

129 = f(-3) = 2 (-3)^ n + (-3)(-3)^2 -6

129 = 2 (-3)^n -27 - 6

129 = 2 (-3)^n -33

129 + 33 = 2(-3)^n

162 = 2 (-3)^n

81 = (-3)^n

Hence n =4 and therefore f(x) = 2x^4 -3x^2 - 6.

zhannawk [14.2K]3 years ago
3 0

Answer:

Step-by-step explanation:

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Oordinates of point that divides the join of A (-6, 3) & B (5, -2) in ratio 2 : 3 externally _________.
DedPeter [7]

Answer:

C(x,y) = (-28,13)

Step-by-step explanation:

If co-ordinates of points A(x1,y1) and (x2,y2) and C is the external point that divides the line AB in ratio m:n then,

C (x,y) = \frac{mx_2-nx_1}{m-n} , \frac{my_2-ny_1}{m-n}

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3 years ago
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