Answer:
(x^2+4)(x-2)
Step-by-step explanation:
We can factor by grouping
take out x^2 from the first two terms, and factor out 4 from last two terms
x^2(x-2)+4(x-2)
(x^2+4)(x-2)
The value of q is 40
Step-by-step explanation:
In the quadratic equation ax² - bx + c = 0, where
- a = 1
- b is the sum of its two roots
- c is the product of its two roots
Assume that the roots of the quadratic equations are x and y
∵ The quadratic equation is x² - 14x + q = 0
∴ a = 1 , b = 14 and c = q
∵ b is the sum of its two roots
∵ Its roots are x and y
∴ x + y = 14 ⇒ (1)
∵ The difference between the roots is 6
∴ x - y = 6 ⇒ (2)
Now we have a system of equation to solve it
Add equations (1) and (2)
∴ 2x = 20
- Divide both sides by 2
∴ x = 10
Substitute the value of x in equation (1) or (2) to find y
∵ 10 + y = 14
- Subtract 10 from both sides
∴ y = 4
∵ c is the product of the two roots
∴ c = 10 × 4 = 40
∵ c = q
∴ q = 40
The value of q is 40
Learn more:
You can learn more about the system of equations in brainly.com/question/2115716
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Answer:
(-12, -20).
Step-by-step explanation:
A dilation of factor 4 moves (-3, 5) to (-3*4, 5*4) = the point (-12, 20).
A reflection over the x-axis is (x, y) ------> ( x, -y).
So ( -12, 20) goes to (-12, -20).
So lets say u have 100$ and it decreases by 100% u would have no money left
1x1=1
- - -
3x3=9
one times one is one three times three is nine