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Step 1 :
Equation at the end of step 1 :
Equation at the end of step 2 :
Step 3 :
Checking for a perfect cube :
3.1 8x3 - 10x2 + 9x - 10 is not a perfect cube
Trying to factor by pulling out :
3.2 Factoring: 8x3 - 10x2 + 9x - 10
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 9x - 10
Group 2: -10x2 + 8x3
Pull out from each group separately :
Group 1: (9x - 10) • (1)
Group 2: (4x - 5) • (2x2)
Bad news !! Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 9x - 10
Group 2: -10x2 + 8x3
Pull out from each group separately :
Group 1: (9x - 10) • (1)
Group 2: (4x - 5) • (2x2)
Bad news !! Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.
Polynomial Roots Calculator :
Photo denoise movavi 1 0. 3.3 Find roots (zeroes) of : F(x) = 8x3 - 10x2 + 9x - 10
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 8 and the Trailing Constant is -10.
The factor(s) are:
of the Leading Coefficient : 1,2 ,4 ,8
of the Trailing Constant : 1 ,2 ,5 ,10
Let us test ..
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 8 and the Trailing Constant is -10.
The factor(s) are:
of the Leading Coefficient : 1,2 ,4 ,8
of the Trailing Constant : 1 ,2 ,5 ,10
Let us test ..
P | Q | P/Q | F(P/Q) | Divisor |
---|---|---|---|---|
-1 | 1 | -1.00 | -37.00 | |
-1 | 2 | -0.50 | -18.00 | |
-1 | 4 | -0.25 | -13.00 | |
-1 | 8 | -0.13 | -11.30 | |
-2 | 1 | -2.00 | -132.00 |
Note - For tidiness, printing of 15 checks which found no root was suppressed
Polynomial Roots Calculator found no rational roots
Polynomial Long Division :
3.4 Polynomial Long Division
Dividing : 8x3 - 10x2 + 9x - 10
('Dividend')
By : 2x - 1 ('Divisor')
Dividing : 8x3 - 10x2 + 9x - 10
('Dividend')
By : 2x - 1 ('Divisor')
Amazing 2 9 8 X 10 Shed
dividend | 8x3 | - | 10x2 | + | 9x | - | 10 |
- divisor | * 4x2 | 8x3 | - | 4x2 | |||
remainder | - | 6x2 | + | 9x | - | 10 | |
- divisor | * -3x1 | - | 6x2 | + | 3x | ||
remainder | 6x | - | 10 | ||||
- divisor | * 3x0 | 6x | - | 3 | |||
remainder | - | 7 |
Final result :
See results of polynomial long division:
1. In step #03.04
Quick-Start Guide
When you enter an equation into the calculator, the calculator will begin by expanding (simplifying) the problem. Then it will attempt to solve the equation by using one or more of the following: addition, subtraction, division, taking the square root of each side, factoring, and completing the square.
Variables
Any lowercase letter may be used as a variable.
Exponents
Exponents are supported on variables using the ^ (caret) symbol. For example, to express x2, enter x^2. Note: exponents must be positive integers, no negatives, decimals, or variables. Exponents may not currently be placed on numbers, brackets, or parentheses.
Parentheses and Brackets
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Parentheses ( ) and brackets [ ] may be used to group terms as in a standard equation or expression.
Multiplication, Addition, and Subtraction
For addition and subtraction, use the standard + and - symbols respectively. For multiplication, use the * symbol. A * symbol is not necessary when multiplying a number by a variable. For instance: 2 * x can also be entered as 2x. Similarly, 2 * (x + 5) can also be entered as 2(x + 5); 2x * (5) can be entered as 2x(5). The * is also optional when multiplying with parentheses, example: (x + 1)(x - 1).
Order of Operations
![Amazing 2 9 8 X 10 Amazing 2 9 8 X 10](https://i.pinimg.com/736x/bc/da/a2/bcdaa2c7a0fdbb7d297b1c450e9c2934--blush-wedding-cakes-blush-pink-weddings.jpg)
8 X 10 Tasveer
The calculator follows the standard order of operations taught by most algebra books - Parentheses, Exponents, Multiplication and Division, Addition and Subtraction. The only exception is that division is not currently supported; attempts to use the / symbol will result in an error.
Division, Square Root, Radicals, Fractions
The above features are not supported.
Tutoring
Amazing 2 9 8 X 1000
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