What is the best first step for solving the given system using substitution while avoiding fractions? =9x+4x=10 -9x+3y=3
2 answers:
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Answer:
(x2+3) • (x2+9)
Step-by-step explanation:
Factoring
The first term is, its coefficient is 1 .
The middle term is, its coefficient is 12 .
The last term, "the constant", is +27
Step-1 : Multiply the coefficient of the first term by the constant 1 • 27 = 27
Step-2 : Find two factors of 27 whose sum equals the coefficient of the middle term, which is 12 .
27 + 1 = 28
9 + 3 = 12 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and -3
x4 + 9x2 + 3x2 + 27
Step-4 : Add up the first 2 terms, pulling out like factors :
x2 • (x2+9)
Add up the last 2 terms, pulling out common factors :
3 • (x2+9)
Step-5 : Add up the four terms of step 4 :
(x2+3) • (x2+9)
Answer:
3 and 28
Step-by-step explanation:
note ( )(x ) =
= and
( )(4) =
=
=
= 3
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(f + g)(x) = f(x) + g(x)
f(x) + g(x)
= x² + 2x - 3 + x² - 9 = 2x² + 2x - 12 and
(f + g)(4) = 2(4)² + 2(4) - 12 = 2(16) + 8 - 12 = 32 + 8 - 12 = 28