Which shows one way to determine the factors of 4x3 x2 – 8x – 2 by grouping? x2(4x 1) – 2(4x 1) x2(4x – 1) 2(4x – 1) 4x2(x 2) –
1 answer:
An expression has numbers, variables, and mathematical operations. The factors of the expression 4x³+x²-8x-2 by grouping are x²(4x+1)-2(4x+1).
<h3>What is an Expression?</h3>
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The factors of the expression by grouping can be done as,
Take x² as the common factor from the first two terms while -2 from the last two terms,
Thus, the factors of the expression 4x³+x²-8x-2 by grouping are x²(4x+1)-2(4x+1).
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To find the length of any side of a right triangle, you can use the Pythagorean Thereom. It states that the squares of two sides are equal to the square of the hypotenuse:
Input the information from the diagram into the formula:
Expand each term:
Combine like terms:
Add -169 to both sides:
Factor out the Common Term (2):
Factor the Complex Trinomial:
Set Factors to equal 0:
or
However, since we are solving for the side length, the only possible answer is 5 (a shape can't have a side with a negative length.)
The Solution Is:
I hope this helped!
-Benjamin
To find the length of any side of a right triangle, you can use the Pythagorean Thereom. It states that the squares of two sides are equal to the square of the hypotenuse:
Input the information from the diagram into the formula:
Expand each term:
Combine like terms:
Add -169 to both sides:
Factor out the Common Term (2):
Factor the Complex Trinomial:
Set Factors to equal 0:
or
However, since we are solving for the side length, the only possible answer is 5 (a shape can't have a side with a negative length.)
The Solution Is:
I hope this helped!
-Benjamin