Show all work to factor x^4-10x^2+9 completely

Quadratic equations are also a type of algebraic fractions that have factors.

The factor of

In order to completely factor we would apply the formula:

a(x-r)(x-s)

To find the variables a, x, r and s, we have to love at the coefficients of which is -10 and the term 9 and find out what can we multiply together to give us 9 and add together to give us -10

That would be , -9 and - 1 because:

-9 x -1 = 9

-9 + (-1) = -10

Hence: the value for a = 1

, r = -9  and s = -1

Putting this into the equation:

1(x -(-9)(x - (-1))

Hence, we have:

Factorizing the above expression further, we have

Therefore, the factor of

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Step-by-step explanation:

Step 1: Find what adds to _ and multiples to_

It needs to multiple to the 'c' term or 9

It needs to add to the 'b' term or -10

Step 2: Find the numbers

We know -9 and -1 make 10 and multiple to 9

-9 x -1 = 9

-9 + (-1) + -10

Step 3: Write equation in form a(x-r)(x-s)

a = 1

r = -9

s = -1

Plug in the equation to get the factored form of the equation:

Therefore the factored form of the equation is

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

what is the question?

step-by-step explanation: