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Allushta [10]
3 years ago
5

F(x)=x^2+3 find and simplify f(t-5) And f(a+h)-f(a) , f(a) - f(a-h)

Mathematics
1 answer:
Jet001 [13]3 years ago
6 0
1. (t-5)^2+3=t^2-10t+12+3=t^2-10t+15.

2. (a+h)^2+3=a^2+2ah+h^2+3
    (a^2)+3=a^2+3. Subtracting, we get h^2+2ah.

3. (a^2)+3=a^2+3
    (a-h)^2+3=a^2-2ah+h^2+3. Subtracting, we get 2ah-h^2.

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Take a look at <span>5x^2 – 34x + 24 = 0.  The last term could have been the result of these different possible muliplications:  1*24, 2*12, 3*8, 4*6.  The leading term is 5, whose factors are 5 and 1.  Thus, possible rational roots would be
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     ___________________
6  /    5      -34          24
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    ------ --------------------------
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They correspond to the factor 5x - 4.  If we set this difference = to 0, and solve for x, we get  x = 4/5 (which is correct).

The roots of </span><span>5x^2 – 34x + 24 = 0  are  x = 4/5 and x= 6/1.</span>
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