Answer:
5
Step-by-step explanation:
slope = rise/run = (7-y)/(-5-(-2)) = -2/3
3(7 -y) = -2(-3) . . . . . multiply by 3(-3)
7 -y = 2 . . . . . . . . . . . divide by 3
7 -2 = y = 5 . . . . . . . . add y-2
The value of y is 5.
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<h3>Answer: x(x+1)(5x+9) </h3>
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Work Shown:
5x^3 + 14x^2 + 9x
x( 5x^2 + 14x + 9 )
To factor 5x^2 + 14x + 9, we could use the AC method and guess and check our way to getting the correct result.
A better way in my opinion is to solve 5x^2 + 14x + 9 = 0 through the quadratic formula
Then use those two solutions to find the factorization
x = -1 or x = -9/5
x+1 = 0 or 5x = -9
x+1 = 0 or 5x+9 = 0
(x+1)(5x+9) = 0
So we have shown that 5x^2 + 14x + 9 factors to (x+1)(5x+9)
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Overall,
5x^3 + 14x^2 + 9x
factors to
x(x+1)(5x+9)
Given a polynomial p(x) with leading coefficient and solutions
, we have
That's why we have to find the solutions first. We complete the square by adding 3 to both sides:
From here, we continue by taking the square root of both sides:
So, the two solutions are
Which yields the factorization