Combining the like terms, the simplified polynomials are given as follows:
a) 4x² - 14x + 17
b) -5x² - 20x + 8
<h3>How are polynomials simplified?</h3>
Polynomials are simplified combining the like terms, that is, adding these numbers with the same variable.
Item a:
4(x - 2)(x + 1) - 5(2x - 5)
Applying the distributive property:
4(x² - x - 2) - 10x + 25
4x² - 4x - 8 - 10x + 25
Combining the like terms:
4x² - 4x - 10x - 8 + 25
4x² - 14x + 17
Item b:
-5(x + 2)² + 28
-5(x² + 4x + 4) + 28
-5x² - 20x - 20 + 28
-5x² - 20x + 8
More can be learned about the simplification of polynomials at brainly.com/question/24450834
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B)subtraction hopes this help:)
Answer:
x≥1/2
Step-by-step explanation:
9514 1404 393
Answer:
log4(2) = 0.5000
Step-by-step explanation:
You are being asked to figure out how to make the value 2 from the values 6 and 3. Your familiarity with arithmetic facts tells you ...
2 = 6/3
Taking logs base 4, you have ...
log4(2) = log4(6/3) = log4(6) -log4(3)
log4(2) = 1.2925 -0.7925
log4(2) = 0.5000
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<em>Additional comment</em>
This is consistent with your knowledge of factors of 4:
√4 = 4^(1/2) = 2
log4(2) = 1/2
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Here, we're using "log4" to mean the base-4 logarithm.