Answer:

________

Step-by-step explanation:
Given

Line up the numbers

Multiply the top number by the bottom number one digit at a time starting with the ones digit left(from right to left right)
Multiply the top number by the bolded digit of the bottom number

Multiply the bold numbers: 1×4=4

Multiply the bold numbers: 2×4=8

Multiply the top number by the bolded digit of the bottom number

Multiply the bold numbers: 1×1=1

Multiply the bold numbers: 2×1=2

Add the rows to get the answer. For simplicity, fill in trailing zeros.

adding portion

Add the digits of the right-most column: 4+0=4

Add the digits of the right-most column: 8+1=9

Add the digits of the right-most column: 0+2=2

Therefore,

________

Answer:
The value of
is -30.
Step-by-step explanation:
Let
, we notice that expression is a second order polynomials. We can rearrange the polynomial and use factorization to calculate all roots:
(1)
(2)
(3)
From (3) we find the least root:
![x = \sqrt [3]{\frac{8}{27}}](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%20%5B3%5D%7B%5Cfrac%7B8%7D%7B27%7D%7D)

By (2) we have the value of
:


Answer:
The answer to your question is p = -2 q = -6 remainder = -10
Step-by-step explanation:
Data
Dividend = 8x⁴ - 2x² + 6x - 7
Divisor = 2x + 1
Quotient = 4x³ + px² - qx + 3
Process
1.- Divide using long division
4x³ - 2x² + 3
2x + 1 8x⁴ + 0x³ - 2x² + 6x - 7
- 8x⁴ - 4x³
0 - 4x³ - 2x²
+ 4x³ +2x²
0 0 + 6x - 7
-6x - 3
0 - 10 Remainder
px² = -2x² then p = -2
-qx = 6x then q = -6
Answer:
B. 9 Units squared
Step-by-step explanation:
Edge 2021