what are some advantages of writing the polynomial expression -7x^2+32x+240 in factored form when interpreting this situation
1 answer:
Step-by-step explanation:
The advantages of writing the polynomial expression
-7 + 32x + 240 in factored form when interpreting this
situation
Factorizing the quadratic equation gives
-7 + 32x + 240
-7 +60x - 28x + 240
x×(-7x + 60) -4 ×(-7x + 60)
(x-4)×(-7x + 60)
The roots of the equation<em> 4,-60/7</em>
<em>Advantages of writing the polynomial expression in factored </em>
- <em> we directly know the roots </em>
- <em> we can easily draw the graph of the quadratic</em>
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I found a similar problem to your problem here, which is shown in the attached picture. So, from the picture, we have to find the equation for the red line. All we have to do is find two points of the line. That would be: Point 1(2,0) and Point 2(-2,3). The general equation would be:
y - y₁ = (y₂-y₁)/(x₂ - x₁) * (x - x₁)
Substituting the coordinates to the equation,
y - 0 = (3-0)/(-2 - 2) * (x - 2)
y = -3(x -2)/4
Rearranging,
<em>4y = -3x + 6 or 4y + 3x = 6</em>
y - y₁ = (y₂-y₁)/(x₂ - x₁) * (x - x₁)
Substituting the coordinates to the equation,
y - 0 = (3-0)/(-2 - 2) * (x - 2)
y = -3(x -2)/4
Rearranging,
<em>4y = -3x + 6 or 4y + 3x = 6</em>