Is each expression equivalent to 2x^2 - 50?

1 answer:

3 0

We would first determine how to solve this, and then from there, we would then see whether the following answer would be the correct answers.

$2x^2 - 50 \\ \\ Pull \ out \ like \ factors : \\ 

 2x^2 - 50 = 2 * (x^2 - 25) \\ \\ Factoring: \\ x^2 - 25 \\ \\ (your \ answer)...\\ \\ 2 * (x + 5) * (x - 5)$

Now, we can determine whether the say "yes" or "no" to the following answers.

a 2(x-5)(x+5) = YES
b -2(x+5)(x+5) = NO
c -2(5-x)(x+5) = NO

You might be interested in

Write the equation of a polynomial of degree 3, with zeros 1, 2 and -1 where f(0)=2

drek231 [11]

Answer:

The equation of a polynomial of degree 3, with zeros 1, 2 and -1 is $x^{3}-2 x^{2}-x+2=0$

Solution:

Given, the polynomial has degree 3 and roots as 1, 2, and -1. And f(0) = 2.

We have to find the equation of the above polynomial.

We know that, general equation of 3rd degree polynomial is

$F(x)=x^{3}-(a+b+c) x^{2}+(a b+b c+a c) x-a b c=0$

where a, b, c are roots of the polynomial.

Here in our problem, a = 1, b = 2, c = -1.

Substitute the above values in f(x)

$F(x)=x^{3}-(1+2+(-1)) x^{2}+(1 \times 2+2(-1)+1(-1)) x-1 \times 2 \times(-1)=0$

$\begin{array}{l}{\rightarrow x^{3}-(3-1) x^{2}+(2-2-1) x-(-2)=0} \\ {\rightarrow x^{3}-(2) x^{2}+(-1) x-(-2)=0} \\ {\rightarrow x^{3}-2 x^{2}-x+2=0}\end{array}$