Can someone help me with this please i’ll give brainliest and it’s due in a half hour

Could someone help me on 50? i don’t understand how to use quadratic form with this.

FinnZ [79.3K]

Answer:

(4x^2 + 1)(2x + 1)(2x - 1)

Step-by-step explanation:

16x^4 - 1

The first rule of factoring is to try to factor a common factor. There is no common factor between 16x^4 and 1.

We see that the polynomial is a binomial. It is a difference of two terms. We also notice that the first term is a perfect square. 16x^4 is the square of 4x^2. 1 is also a perfect square. It is the square of 1. Since both terms are perfect squares, and it is a difference, this binomial is the difference of two squares.

Recall the factoring of the difference of two squares. The difference of two squares factors into the product of a sum and a difference.

The pattern is:

a^2 - b^2 = (a + b)(a - b)

Apply that pattern to our problem. 16x^4 is the square of 4x^2, so the factorization looks like this:

16x^4 - 1 = (4x^2 + 1)(4x^2 - 1)

So far so good, but we are not finished yet. Factoring a polynomial means factoring it completely. Now we need to look at each factor and see if it can be factored further.

First, look at 4x^2 + 1. 4x^2 is the square of 2x. 1 is the square of 1. This is the sum of two squares. There is no factorization for the sum of two squares, so that factor is done.

Now look at 4x^2 - 1. Again, 4x^2 is the square of 2x, and 1 is the square of 1. In this case, we have the difference of two squares. We use the same factorization pattern we used above, a^2 b^2 = (a + b)(a - b).

16x^4 - 1 = (4x^2 + 1)(2x + 1)(2x - 1)

2x + 1 and 2x - 1 are not factorable, so the fully factored binomial is:

(4x^2 + 1)(2x + 1)(2x - 1)

8 0

3 years ago

Solve for x.<br> y=x-12<br> y= 14

masya89 [10]

Answer:

26

Step-by-step explanation:

Check answer:

14+12= 26

26-12=14

8 0

3 years ago

Read 2 more answers

in order to graph a linear equation in slope-interceot form, what do you need to know? what does the equation look like when the

tankabanditka [31]

Answer:

(a) Slope and y-intercept; (b) y = mx; (c) y = x + b

Step-by-step explanation:

1. Need to know

Slope and y-intercept.

You use these numbers to calculate one other point. Then you draw a straight line between the y-intercept and the other point to get the graph.

2. y-Intercept = 0

The form of the equation is y = mx + b, where b is the y-intercept.

If the intercept is zero, b = 0, and the equation has the form

y = mx

The graph is a straight line passing through the origin.

3. Slope = 1

m represents the slope. If m = 1, the equation has the form

y = x + b

If the axes are scaled equally, the graph is a straight line that crosses the y-intercept at an angle of 45°.

8 0

4 years ago

In an arithmetic progression, the sixth term is equal to 10.5; and the difference is 1.5. Find the first term and the sum of the

telo118 [61]

The first term will be 3 and the sum of the first 9 terms will be 81.

<h3>What is Arithmetic progression?</h3>

The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).

The arithmetic progression has wider use in mathematics for example sum of natural numbers.

Natural number = 1,2,3,4,5,6,7,8...

Given,

Six terms as 10.5

So,

a₆ = 10.5

Common difference(d) = 1.5

The nth term of an AP is given by

$a_{n}$ = a + (n-1)d

So,

a₆ = a + (6-1)d

10.5 = a + 5(1.5)

a = 3

Now,

The Sum of n terms is given by

S = n/2[2a + (n-1)d]

S = 9/2[6 + 8(1.5)]

S = 81

Hence the first term will be 3 and the sum of 9 terms will be 81.

For more about Arithmetic progression

brainly.com/question/20385181

#SPJ1

6 0

2 years ago

Please help me solve 3 (1+2v)-3(1+4v)

Vilka [71]

Answer:

18v

Step-by-step explanation: See the attached file! Enjoy. If you need explanation, just tell me! Id be glad to answer more than answer per question!

5 0

4 years ago

Read 2 more answers