Answer:
(3x - 2) (x+5)
Step-by-step explanation:
3x^2 + 13 - 10
15× - 2 = -30
15+-2 = 13.....substitute 15x - 2x in place of 13x
3x^2+15x-2x-10
Factorise the first two values, thrn the second two
3x (x+5) - 2 (x+5)
Gathering the like terms together you eill be left with the following
(3x - 2) (x+5)
This is an important step because that way you can properly determine how much money you can output.
Answer:
Step-by-step explanation:
Let's solve your equation step-by-step.
1
3
(x+2)=
2
3
x+4
Answer:
x=−10
Answer:
2 and a half cup
Step-by-step explanation:
A detailed look at the image attached will provide further explanation.
Answer:
Step-by-step explanation:
<h3>Polynomial:</h3>
p(x) = ax³ + bx + x
Let g(x) = x² + kx + 1 .
g(x) is a factor of p(x). So, p(x) is divided by g(x), the remainder will be 0.
Divide p(x) by g(x) using long division method. {attached as an image}.
By doing long division, we get the remainder.
Remainder = bx - ax + k²ax + ka + c
= (b - a + k²a)x+ [ka + c]
Remainder = 0
b - a + k²a = 0 and ka + c = 0
ka + c = 0
ka = -c
k = -c/a ----------------(I)
b - a + k²a = 0
![\sf b -a + \dfrac{c^2}{a^2}*a=0 -------[From \ (I)]\\\\b - a + \dfrac{c^2}{a}=0\\\\Multiply \ the \ above \ equation\ by \ a \\\\ab - a^2 + c^2 = 0\\\\\\](https://tex.z-dn.net/?f=%5Csf%20b%20-a%20%2B%20%5Cdfrac%7Bc%5E2%7D%7Ba%5E2%7D%2Aa%3D0%20%20%20-------%5BFrom%20%5C%20%28I%29%5D%5C%5C%5C%5Cb%20-%20a%20%20%2B%20%5Cdfrac%7Bc%5E2%7D%7Ba%7D%3D0%5C%5C%5C%5CMultiply%20%5C%20the%20%5C%20above%20%5C%20equation%5C%20by%20%5C%20a%20%5C%5C%5C%5Cab%20-%20a%5E2%20%2B%20c%5E2%20%3D%200%5C%5C%5C%5C%5C%5C)
ab = a² - c²
Hence, proved.