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Snowcat [4.5K]
3 years ago
12

Complete the steps to factor the polynomial by grouping. P(x) = x^3 + 5x^2 -x - 5

Mathematics
1 answer:
Rus_ich [418]3 years ago
5 0
To solve by grouping, we look for a pattern of the coefficients of the polynomial:
+1 +5 -1 -5
=> +(1+5) - (1+5)

Therefore we have found the grouping required, as follows:

<span>P(x) = x^3 + 5x^2 -x - 5
=x^2 ( x+5) - (x+5)
=(x^1-1)(x+5)
=(x+1)(x-1)(x+5)</span>
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Given log4(3) =0.7925 and log4(5) =1.1610, use log properties to find log4(300).
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4.1145

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You can use the following formula to solve this kind of problems,

log_{a}(b)  +  log_{a}(c)  =  log_{a}(bc)

So, let's start of with log4_(300). Since the question have already gave log4_(3) =0.7925 and log4_(5) =1.1610. It means that you have to split the 300 into the simplest form where almost all of the numbers are 3 and 5.

log_{4}(300)  =  log_{4}(4 \times 5 \times 3 \times 5)  \\  =  log_{4}(4)  + log_{4}(5)  + log_{4}(3)  + log_{4}(5)  \\   = 1 + 1.1610 + 0.7925 + 1.1610 \\  = 4.1145

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Estimate the side length of a square that has a 9cm long diagonal
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Read 2 more answers
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