Given that f(x) = 4xˆ3 -24xˆ2 + 45x -25.a) Factor f(x), given that 1 is a zero.b) Solce f(x) = 0. Write your answer as integers or simplified fractions.
Given that f(x) = 4xˆ3 -24xˆ2 + 45x -25.
a) Factor f(x), given that 1 is a zero.
b) Solce f(x) = 0. Write your answer as integers or simplified fractions.
Since x=1 is a zero so (x-1) is a factor.
Use synthetic division to find the other factor.
Other factor is = 4x^2 -20x + 25
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f(x) 4x3-24x2+45x-25 45 - 24 25 25 - 20 25 20 4
Then we factor 4x^2 -20x + 25=0
Answe...
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4x-20х+25 —4x?-10х-10х-+25 %3D2x(2х-5)-5(2х-5) — (2х-5)(2х-5) 3 (2х-5)°
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