Answer: The two roots are x = 3/2 and x = -2
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Explanation:
You have the right idea so far. But the two numbers should be 3 and -4 since
The -1 being the coefficient of the x term.
This means you need to change the -3x and 4x to 3x and -4x respectively. The other inner boxes are correct.
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Refer to the diagram below to see one way to fill out the box method, and that helps determine the factorization.
If we place a 2x to the left of -2x^2, then we need an -x up top because 2x*(-x) = -2x^2
Then based on that outer 2x, we need a -2 up top over the -4x. That way we get 2x*(-2) = -4x
So we have the factor -x-2 along the top
The last thing missing is the -3 to the left of 3x. Note how -3*(-x) = 3x in the left corner and -3*(-2) = 6 in the lower right corner.
We have the factor 2x-3 along the left side.
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The two factors are (2x-3) and (-x-2) which leads to the factorization (x+3)(-x+2)
The last thing to do is set each factor equal to 0 and solve for x
The two roots are x = 3/2 and x = -2
Answer:
Slope = 9/6
Step-by-step explanation:
Step 1: We have formula to find the slope if we are given two point.
<h3>slope =Given points (-1, -5) and (5, 4)
Here x1 = -1, y1 = -5 and x2=5 and y2 = 4
Step 2: Plug in those values into formula and simplify.
Slope = (4 - (-5)) / (5 - (-1))
= (4 + 5)/(5 + 1) -(-5)= 5 and -(-1) = 1
Slope (m) = 9/6
Thank you.
Hope you will understand this.