The factors of the given polynomial will be ( x + 2 ), ( x + 5 ) and ( x + 3 ).
<h3>What is an expression?</h3>
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The given expression will be solved as:-
f(x) = x³ + 10x² + 31x + 30
f(x) = ( x³ + 7x² + 10x + 3x² + 21x + 30
f(x) = ( x² + 7x + 10 ) ( (x + 3 )
f(x) = ( x²+ 5x + 2x + 10 ) ( x + 3 )
f(x) =[ x ( x+ 5 ) +2 ( x+ 5) ] ( x + 3 )
f(x) = ( x + 5 ) ( x + 2 ) ( x + 3 )
Therefore factors of the given polynomial will be ( x + 2 ), ( x + 5 ) and ( x + 3 ).
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Answer:
b) 8 feet
Step-by-step explanation:
5+3=8
So, the answer will be 8
Your choices are correct.
1. adding -3 to the function shifts its graph downward by 3 units.
2. 7^(2x) = (7^2)^x = 49^x
3. f(0) = -6; g(0) = -3, f(0) = 2×g(0)
First we find the slope between the two given points.
m = (y2 - y1)/(x2 - x1) = (-5 - 2)/(7 - 6) = -7/1 = -7
Now we use the slope-intercept equation of a line.
y = mx + b
We use one point as x and y, and we solve for b.
2 = -7(6) + b
2 = -42 + b
b = 44
The equation is
y = -7x + 44
Answer: f(x) = -7x + 44
The answer is the graph will be 3 units to the left