Answer:
x=4
Step-by-step explanation:
f(x) = x^2 - 8x+16
Set equal to zero
0 = x^2 -8x +16
Factor
what 2 numbers multiply to 16 and add to -8
-4*-4 = 16
-4+-4 = -8
0= (x-4)(x-4)
Using the zero product property
x-4 = 0 x-4 =0
x=4 x=4
Answer:
f. the sequence goes by the half of the previous number.
= 16, 8, 4, 2, 1, 1/2, 1/4, 1/8...
g. the sequence goes by adding the consecutive odd number added to the previous number.
first number= 3.
second number= 3+3
= 6
third number= 6+5
= 11
fourth number= 11+7
= 18
fifth number= 18+9
= 27
sixth number= 27+11
= 38
seventh number= 38+13
= 51, etc.
= 3, 6, 11, 18, 27, 38, 51...
And how would I do that via computer? If this is homework, do it your self, it's not that hard. Draw it and scan it (man computer doesn't have the ability to scan things)
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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