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 2 years ago
Let P(x)=kx^(3)9x^(2)15x+50.
(a) If 2x+5 is a factor of P(x), find the value of k.
(b) Factorize P(x) completely.
 2 years ago
Let P(x)=kx^(3)9x^(2)15x+50. (a) If 2x+5 is a factor of P(x), find the value of k. (b) Factorize P(x) completely.

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.Sam.
 2 years ago
Best ResponseYou've already chosen the best response.1If 2x+5 is a factor of P(x) Then P(5/2) = k(5/2)^(3)9(5/2)^(2)15(5/2)+50 =0 Find k..

.Sam.
 2 years ago
Best ResponseYou've already chosen the best response.1You can equate to zero because its a factor of P(x), then 5/2 as value for x

kryton1212
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1362193274349:dw dw:1362193313133:dw

.Sam.
 2 years ago
Best ResponseYou've already chosen the best response.1P(5/2) = k(5/2)^3+125/4 =0 P(5/2) = k(5/2)^3 = 125/4

kryton1212
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1362193409011:dw

.Sam.
 2 years ago
Best ResponseYou've already chosen the best response.1There's something wrong with your calculations, k should be 2

kryton1212
 2 years ago
Best ResponseYou've already chosen the best response.0i know, but i don't know where i wrong

kryton1212
 2 years ago
Best ResponseYou've already chosen the best response.0i know, it should be 75..

.Sam.
 2 years ago
Best ResponseYou've already chosen the best response.1\[\frac{125}{8}k\frac{225}{4}+\frac{75}{2}+50=0\] Multiply by 8, \[125k450+300+400=0 \\ \\ 125k+250=0 \\ \\ k=2\]
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