Question

What are the solutions of x2 10x 16 = 0? write the equation in standard form. factor the polynomial. apply the zero product property. solve the resulting equations. x2 10x 16 = 0 (x 2)(x 8) = 0 x 2 = 0 or x 8 = 0 x = and x =

Answer 1

The values of x or the solution of the of provided polynomial equation are x=-2 and x=-8.

What is the factor of polynomial?

The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.

The given polynomial equation in standard form is,

$x^2 +10x +16 = 0$

Now factor the polynomial.

$x^2 +10x +16 = 0\\(x 2)(x 8) = 0$

Apply the zero product property and find out the factors as,

$x +2 = 0, x +8 = 0$

Solve the resulting equations by equating both the factors one by one to the zero and find the roots.

$x +2 = 0\\x=-2$

Similarly, for x+8=0,

$x +8 = 0\\x=-8$

Thus, the values of x or the roots of the equation are,

$x = -2, x =-8$

Hence, the values of x or the solution of the of provided polynomial equation are x=-2 and x=-8.

Learn more about factor of polynomial here;

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Answer 2

Answer:

-2 and -8

Step-by-step explanation:

got my answer from the person above.