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2 years ago

Distributive Property to find (z-5)(z+3)

Mathematics

1 answer:

valentina_108 [34]2 years ago

7 0

Answer:

z×(-5+3)then you complete the sum and that is your answer

Step-by-step explanation:

hope it helps you

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What is the parent function for the following<br><br> f(x) = (x-2) (x-1)

Taya2010 [7]

Answer:

The parent function of f(x) = (x-2) (x-1) is $P(x) = x^2- 3 x + 2$ .

Step-by-step explanation:

Here, f(x) = (x-2) (x-1)

Now, parent function of a given function is the function, which is PRODUCT OF ALL IT S FACTORS.

Now, here, f(x) has two factors ( x- 2) and ( x-1)

So, the parent function p(x) of f(x) is given as the product of both the factors.

So, we get:

$P(x) = (x-2) (x-1) \\= x( x-1) -2(x-1)\\=x^2 - x -2x + 2\\= x^2- 3 x + 2\\\implies P(x) = x^2- 3 x + 2$

Hence, here the parent function of f(x) = (x-2) (x-1) is $P(x) = x^2- 3 x + 2$ .

6 0

3 years ago

I started at my house at (-3,5) and started driving to fredericksburg. i got a flat tire halfway at (10,-5) how far would my who

coldgirl [10]

(23,-10) would be the answer

3 0

3 years ago

The polynomial equation x^4 + x^3 + x^2 + x + 1 = 0 has zero positive real roots. Please select the best answer from the choices

const2013 [10]

There are zero positive real roots for the given polynomial equation $x^4 + x^3 + x^2 + x + 1 = 0$ . This is explained by Descarte's rule of signs. So, the best choice is T (true).

<h3>What is Descarte's rule of signs?</h3>

Descarte's rule of signs tells about the number of positive real roots and negative real roots.
The number of changes in signs of the coefficients of the terms of the given polynomial f(x) gives the positive real zeros of the polynomial.
The number of changes in signs of the coefficients of the terms of the given polynomial when f(-x) gives the negative real zeros of the polynomial.

<h3>Calculation:</h3>

The given polynomial equation is $x^4 + x^3 + x^2 + x + 1 = 0$

On applying Descarte's rule of signs,

$f(x)=x^4 + x^3 + x^2 + x + 1$

Since there are no changes in the signs of the coefficients of any of the terms in the above polynomial, the polynomial has no positive real roots.

$f(-x)=(-x)^4+(-x)^3+(-x)^2+(-x)+1\\ = x^4-x^3+x^2-x+1$

Since there are four changes in the signs of the coefficients of the terms of the given polynomial when f(-x), the polynomial has 4 negative real roots.

Therefore, the given polynomial equation has zero positive real roots. So, the correct choice is T(true).

Learn more about Descarte's rule of signs here:

brainly.com/question/11590228

#SPJ1

5 0

2 years ago

Easy points of u know it

Aleonysh [2.5K]

I most certainly have no idea :)

3 0

3 years ago

Read 2 more answers