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Vikki [24]
3 years ago
8

Factor completely. a 2 + 28a + 27 (a + 1)(a + 27) (a + 3)(a + 9) (a - 1)(a - 27)

Mathematics
1 answer:
8090 [49]3 years ago
7 0

Answer:

(a+1)(a+27)

Step-by-step explanation:

Trinomials are three term algebraic expressions typically featuring variables to exponent powers. To break these trinomials down we factor them using the diamond method or GCF. The diamond method states that for a trinomial Ax^2+Bx+C multiply A*C then find two numbers which multiply to this number and add to B. When you find those numbers, write them as (x-/+ number)(x-/+number).

a^2+28a+27

A=1, C=27

A*C=27 and add to B=28 which 1 and 27 satisfy

The factors are (a+1)(a+27)


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3 years ago
Let f=​{(-1, 4)​,(1, 9)​,(4, 0)​} and g=​{(-1, -8)​,(2, -7)​,(4, 8)​,(5, -9)​}. Find​ g/f and state its domain.
tekilochka [14]

Answer:

g/f = {(-1, 2)}

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Step-by-step explanation:

Given,

f =​ {(-1, 4)​,(1, 9)​,(4, 0)​},

g = ​{(-1, -8)​,(2, -7)​,(4, 8)​,(5, -9)​}

So, Domain of f = {-1, 1, 4},

Domain of g = {-1, 2, 4, 5}

Since,

\frac{g}{f}(x) = \frac{g(x)}{f(x)}

Thus, domain of g/f = Domain of f ∩ Domain of g = {-1, 4}

If x = -1,

\frac{g}{f}(-1) = \frac{g(-1)}{f(-1)}=\frac{-8}{-4}=2

If x = 4,

\frac{g}{f}(4) = \frac{g(4)}{f(4)}=\frac{8}{0}=\infty (\text{ not possible})

Hence, the domain of g/f = {-1}

And, g/f = {(-1, 2)}

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Step-by-step explanation:

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Step-by-step explanation:

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