The value of x is equal to -5/6
To solve this question, we have to add two polynomials together. The polynomials are;
<h3>Addition of Polynomials</h3>
This involves adding of two or more different polynomials together. The polynomials adding together are or must be of the same degree. i.e x^2 must add to another coefficient of x^2 and x^3 adds to another coefficient of x^3 and so on.
In this given question, let's add the polynomials together.
![(3x^2+3x+5) + (7x^2-9x = 8\)\\3x^2 + 7x^2 + 3x-9x+5-8 =10x^2-6x-3](https://tex.z-dn.net/?f=%283x%5E2%2B3x%2B5%29%20%2B%20%287x%5E2-9x%20%3D%208%5C%29%5C%5C3x%5E2%20%2B%207x%5E2%20%2B%203x-9x%2B5-8%20%3D10x%5E2-6x-3)
Now, let's equate this with the last polynomial given
![10x^2-6x-3=10x^2-12x-13\\10x^2-10x^2-6x+12x-3+13\\0+12x+10\\12x=-10](https://tex.z-dn.net/?f=10x%5E2-6x-3%3D10x%5E2-12x-13%5C%5C10x%5E2-10x%5E2-6x%2B12x-3%2B13%5C%5C0%2B12x%2B10%5C%5C12x%3D-10)
Let's solve for x
![12x=-10\\x=-\frac{10}{12}\\x = -\frac{5}{6}](https://tex.z-dn.net/?f=12x%3D-10%5C%5Cx%3D-%5Cfrac%7B10%7D%7B12%7D%5C%5Cx%20%3D%20-%5Cfrac%7B5%7D%7B6%7D)
The value of x is equal to -5/6
Learn more on addition of polynomials here;
brainly.com/question/4142886
Answer:
a = 2x
b = 3
Step-by-step explanation:
Consider the sum of cubes identity
a³ + b³ =(a + b)(a² -ab +b²)
for the polynomial 8x³ +27, we factorise
8x³ + 27
∛8 = 2
∛8 = x
∛27 = 3
Therefore, we can say that :
8x³ + 27 = (2x)³ + 3³
Using this: a³ + b³ =(a + b)(a² -ab +b²)
We can say that
a = 2x
b = 3
To confirm that: a = 2x and b = 3 we factorise 8x³ + 27
= (2x)³ + 3³
= (2x + 3)((2x)²− 2x × 3 + 3²)
= (2x + 3)(4x² - 6x + 9)
= 8x³ - 12x² +18x + 12x² - 18x + 27
= 8x³ + 27
Therefore, a = 2x and b = 3 is correct.
=
Answer:
Multiply
Step-by-step explanation:
Answer:
Step-by-step explanation:
ARE YOU SERIOUS! just list the factors of 17
1*17=17