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Jobisdone [24]
2 years ago
11

Given that 2x³-5x² - 4x+8 = (Ax - 1)(x-B)(x + 1) + C for all values of x, find the

Mathematics
1 answer:
vfiekz [6]2 years ago
8 0

Answer:

A=2, B=3, C=5

Step-by-step explanation:

Two polynomials are equal for all values of the variable if the corresponding coefficients are the same. The way to solve the problem is to multiply the RHS, rewrite it in a more orderly way

(Ax-1)(x-B)(x+1)+C = \\Ax^3+(A-AB-1)x^2+(B-AB-1)x +B+C

Now, for the two polynomials to be the same we need to have, at the same time

x^3: A=2\\x^2: A-AB-1= -5\\x:B-AB-1=-4\\1: B+C=8

You might notice that we have more conditions than variables, but you can consider one of the two in the middle as a "check" option.

Now, grabbing the value from the first condition into the second we get B=3. Replacing both value in the third we see that the equality still holds, and replacing into the fourth we get C =5.

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3. Simplify: 72 +8 [180 + 4 {10 + (15 - 45 - 9 x 2)}] simplify ​
garri49 [273]

Answer:

296

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Tom has a cube a rectangle prism and a triangular prism. Which of these shapes have more than 6 vertical?
Elenna [48]

The cube and rectangular prism.

Step-by-step explanation:

The triangular prism has 5 and the other two both have 8.

7 0
3 years ago
Please help me i need to complete this by tomorrow
lisov135 [29]

Answer:

Step-by-step explanation: Need to work out your scale factor which is 1.5.

8 * 1.5 = 12

CE = 12

12 * 9 = 108/2 = 59 that is the area of triangle ACE

8 * 6 = 48/2 = 24 that is the area of triangle BCD

ACE - BCD = ABDE

59 - 24 = 35cm^2

8 0
2 years ago
Which correctly describes a cross section of the right rectangular prism if the base is a rectangle measuring 15 inches by 8 inc
grigory [225]
<span>A cross-section parallel to the base is a rectangle measuring 15 inches by 8 inches.

</span><span>A cross-section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.
</span>
<span>A cross-section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches.

the cross sections that are parallel and perpendicular will have the same measurements as the non-intersected sides. the last one will be a diagonal so the intersected edge is 6 and it creates a right triangle so it must be larger than 15 inches.

</span><span>
</span>
5 0
3 years ago
Read 2 more answers
Pleaseee helpppp !!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
solniwko [45]
ANSWER: FG = 69

FG = FK + KG
KG = 1/2(FK)
FK = 46

RULE: When it comes to centroids, the longer section of the line is always 2/3 of the entire line (+ the shorter section of the line is always 1/3). This means that the shorter section of the line is HALF of the longer section of the line.

FG = FK + KG
FG = 46 + 46/2
FG = 46 + 23
FG = 69

CHECK:
FK = 2/3(FG)
46 = 2*69/3
46 = 138/3
46 = 46 ✔️

or

KG = 1/3(FG)
1/2(FK) = 1/3(FG)
46/2 = 69/3
23 = 23 ✔️
5 0
3 years ago
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