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4 years ago

Identify the factor terms by grouping: 5x3 – 4x2 + 20x – 16

2 answers:

8 0

5x3-4x2-20x+16=0 Three solutions were found : x = 4/5 = 0.800 x = 2 x = -2Reformatting the input :Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2". 1 more similar replacement(s).
Step by step solution :Step 1 :Equation at the end of step 1 : (((5 • (x3)) - 22x2) - 20x) + 16 = 0 Step 2 :Equation at the end of step 2 : ((5x3 - 22x2) - 20x) + 16 = 0 Step 3 :Checking for a perfect cube : 3.1 5x3-4x2-20x+16 is not a perfect cube
Trying to factor by pulling out : 3.2 Factoring: 5x3-4x2-20x+16
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 5x3+16 Group 2: -4x2-20x
Pull out from each group separately :
Group 1: (5x3+16) • (1)Group 2: (x+5) • (-4x)

I hope it helps

Lera25 [3.4K]4 years ago

7 0

Answer:

$(5x-4)(x^2+4)$

Step-by-step explanation:

Consider the given expression

$5x^3-4x^2+20x-16$

We need to find the factor form of given expression.

Using grouping method we get

$(5x^3-4x^2)+(20x-16)$

Taking out highest common factors from each group.

$x^2(5x-4)+4(5x-4)$

Taking out common factors.

$(5x-4)(x^2+4)$

Therefore, the factored form of given expression is $(5x-4)(x^2+4)$ .

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In step 2, how do you know that 5x? and -12x? are like terms? If you could please help me with 1,2,3 if not just 2

klemol [59]

First we need to define what a like term is:

Like term meaning:

Terms whose variables (such as x or y) with any exponents (such as the 2 in x2) are the same. Examples: 7x and 2x are like terms because they are both "x".

Answer (for question 1):
For step one, you would just have to expand the brackets. The number of times multiplication would be used is 3 times. If you are confused, I attached a diagram in my ‘side notes’ section.

Answer (for question 2):
-5x squared and -12x squared are like terms because they both end in x squared.

Answer (for question 3):
There are no more like-terms.

Hope this helps!
Please give Brainliest!

Side notes:

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2 years ago

Subtract (4+2i) from (6-8i). Enter your answer as a complex number in the<br> form a+bi.

sergiy2304 [10]

(6-8i)
(4+2i) side note : -8i - 2i becomes 8i+2i 2+10i because the negatives cancel out
^^^answer

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3 years ago

Triangle ABC is given where m(angle sign)A=33 Degrees, a=15 in, and the height, h, is 9 in. How many distinct triangles can be m

Mashcka [7]

Answer: You could have an infinite amount of triangles with these measurements.

Unless, you are missing something in the problem, there is not enough information that would narrow it down to a single triangle. Angle A is fixed and the height is fixed. However, Angle B and C could be anything as long as they formed a triangle and had side a of 15 in between them.

8 0

3 years ago

A game of chance involves rolling a standard, six-sided die. The amount of money the player wins depends on the result of the di

Sloan [31]

Answer:

If you play this game once (and it costs you nothing to play), the expected amount of money you will win is:

$8.

Step-by-step explanation:

a) Data and Calculations:

The probability for the result to be 1 or 2 = 33.33% (100/6 * 2)

The probability for the result to be 3, 4, or 5 = 50% (100/6 * 3)

The probability for the result to be 6 = 16.67% (100/6 * 1)

Data Table:

Event Probability Value Won

The result is 1 or 2 33.33% $0

The result is 3, 4 or 5 50.00% $4.00

The result is 6 16.67% $36.00

Expected Value:

Event Probability Value Expected Value

The result is 1 or 2 33.33% $0 $0 ($0 * 33.33%)

The result is 3, 4 or 5 50.00% $4.00 $2.00 ($4 * 50%)

The result is 6 16.67% $36.00 $6.00 ($36 * 16.67%)

Total expected amount of money = $8.00

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3 years ago

How can i determine rational numbers

Paraphin [41]

A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers. The number 8 is a rational number because it can be written as the fraction 8/1.

5 0

3 years ago