Hey there! I"m happy to help!
The interior angles of a triangle add up to 180. We have 2 angles that have a value of x, so 2x+138=180.
We subtract 138 from both sides.
2x=42
We divide both sides by 2
x=21.
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Add (-2X) to both sides:
2X + B + (-2X) = C + (-2X)
If we (rearrange) it into B + 2X + (-2X) = C + (-2X)
B + 2X - 2X = C + (-2X)
Since +2X - 2X = 0
B + 0 = C + (-2X)
B = C + (-2X)
B = C - 2X
Zeros are the x values which make the function equal to zero. Set it up as you would for a binomial with a constant multiplier "k" to account for the y-intercept (0, -5) given.
f(x) = k(x-2)(x-3)(x-5)
Use the y-intercept (0,-5) to solve for k.
-5 = k(0-2)(0-3)(0-5)
-5 = -30k
-5/-30 = k
1/6 = k
The cubic polynomial function is then ..
f(x) = (1/6)(x-2)(x-3)(x-5)
Linear factors are the linear (line) expressions you can factor out of the polynomial. They are (x-2), (x-3) and (x-5).
Bear in mind that words like "are" or "is" is replaced by an equal "=" sign in the equation.
more than or increased by denotes addition
twice the number denotes two times the number
times, simply means multiply.
Let x be the unknown number in the equations.
12 birds are 3 more than twice the number of birds Rhonda saw yesterday.
12 = 2x + 3
Negative 6 times the sum of a number and 4 is 2
-6(x+4) = 2
Four time a number increased by 3 is -89
4x + 3 = -89
Hope this helps!
