You can factorize this square trinomial in the next way
x∧2-2x-80= x∧2-10x+8x-80= x(x-10)+8(x-10)= (x-10) (x+8)
The correct answer is (x-10) (x+8)
Good luck!!!
Answer:
So f(x) has no real greater than 8. Step - by - step explanation is shown in the attachment.
Step-by-step explanation:
Let f ( x) be a polynomial with real coefficients and with a positive lending coefficient.
If f(x) is divided by x-c and
a) if c>0 and all number in the bottom row of the synthetic division are non negative , then f(x) has no zero greater than c.
b ) if c<0 and the number in the bottom row of the synthetic division alternate in sign then f (x) has no zero less than c
As shown in the figure
Since the number in the bottom row of the synthetic division alternate in sign
So f(x) has no real greater than 8
The discriminant of a quadratic is given as
, so we know that
When using the quadratic formula to calculate values for
, we have to take the root of the discriminant. There is no real answer to the root of a negative number and so the equation has no real roots.
The value of x that fills the coordinate are 7 or -5
<h3>Distance between two points</h3>
The formula for calculating the distance between two points is expressed as:
D = √(x2-x1)² +(y2-y1)²
Substitute the given coordinates
10 = √(15-7)² +(1-x)²
100 = 8² +(1-x)²
(1-x)² = 100 - 64
(1-x)² = 36
1- x = -6
x = 7 or -5
Hence the value of x that fills the coordinate are 7 or -5
Learn more on distance formula here: brainly.com/question/661229
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Complete question
<em>If the distance between two points (x, 7) and (1, 15) is 10, find the value of x.</em>