write the polynomial as the product of linear factors.
h(x) = x^2 ? 2x + 10

If then .

If then .

Step-by-step explanation:

In order to write the polynomial as the product of linear factors, we need to find the roots of the polynomial. A quadratic equation is defined as:

Because the given polynomial expression is a quadratic equation, we can use the following equations for calculating the roots:

Since the second term sign is not given, then we can write the expression as:

, in which a=1, b=s2 where 's' represents a sign (- or +), and c=10.

Using the equation for finding the roots we obtain:

; notice that

; notice that (s2)²=2^2

If we consider 's' as possitive (+) the roots are:

and

Whereas if we consider 's' as negative (-) the roots are:

and

The above means that if the equation is , then we can express the polynomial as: .

But, if the equation is , then we can express the polynomial as: .

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x