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17.06.2021 •
Mathematics
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Ответ:
9514 1404 393
f(x) +g(x) = 4x^2 +3
f(x) -g(x) = 4x^2 -6x +1
f(x)·g(x) = 12x^3 -5x^2 +3x +2
Step-by-step explanation:
Substitute for f(x) and g(x) and simplify.
(a) f(x) +g(x) = (4x^2 -3x +2) +(3x +1)
f(x) +g(x) = 4x^2 +3
__
(b) f(x) -g(x) = (4x^2 -3x +2) -(3x +1)
f(x) -g(x) = 4x^2 -6x +1
__
(c) f(x)·g(x) = (4x^2 -3x +2)(3x +1)
= (4x^2 -3x +2)(3x) +(4x^2 -3x +2)(1) . . . use the distributive property
= 12x^3 -9x^2 +6x +4x^2 -3x +2
f(x)·g(x) = 12x^3 -5x^2 +3x +2
Ответ:
a.) f( x ) + g( x ) = 4 x² + 3
b.) f( x ) - g ( x ) = 4x² -6x + 3
c.)f ( x ) . g ( x ) = 12x³ - 5x² + 3x + 2
Step-by-step explanation:
Given :- f ( x) = 4x² - 3x + 2 and g(x)= 3x +1
Substitute the values of f(x) and g(x) and simplify all .
a.) f( x ) + g( x )
( 4x² - 3x + 2 ) + ( 3x + 1 )
4 x² - 3x + 2 + 3 x + 1
collect like terms
4x² - 3 x + 3 x + 2 + 1
4 x² + 3
b.) f ( x ) - g ( x )
( 4x² - 3x + 2 ) - ( 3x + 1 )
4x² - 3x + 2 - 3x - 1
collect like terms
4x² - 3 x - 3x + 2 - 1
4x² -6x + 1
c.) f ( x ) . g ( x )
( 4x² - 3x + 2 ) × ( 3x + 1 )
Use the Distributive property
3 x(4x² - 3x + 2 ) × 1 ( 4x² - 3x + 2 )
Remove the parantheses multiply
12x³ - 9x² + 6x + 4x² - 3x + 2
Collect like terms
12 x³- 9x ² + 4x² + 6x - 3x + 2
12x³ - 5x² + 3x + 2
Ответ:
ok
Step-by-step explanation: