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What polynomials corresponds to the subtraction of the multivariate polynomials 19x 3 plus 44x 2 y plus 17 and y 3 - 11xy 2 plus 2x13x 3?
To subtract the multivariate polynomials (19x^3 + 44x^2y + 17) and (y^3 - 11xy^2 + 2x + 13x^3), we first rewrite the second polynomial with a negative sign: (- (y^3 - 11xy^2 + 2x + 13x^3)). Combining the polynomials gives us: [ (19x^3 - 13x^3) + 44x^2y + 17 - y^3 + 11xy^2 - 2x. ] This simplifies to: [ 6x^3 + 44x^2y + 11xy^2 - y^3 - 2x + 17. ] Thus, the resulting polynomial after subtraction is (6x^3 + 44x^2y + 11xy^2 - y^3 - 2x + 17).
How do we add in polynomials?
To add polynomials, align the like terms, which are terms that have the same variable raised to the same power. Then, simply combine the coefficients of these like terms. For example, in the polynomials (3x^2 + 2x + 1) and (4x^2 + 3), you would add (3x^2 + 4x^2) to get (7x^2) and combine the constant terms (1 + 3) to get (4), resulting in (7x^2 + 2x + 4).
What is the difference between a polynomial and an equation?
Equations will have an equals sign. Such as: x + 3 = 2 Polynomials will not. Such as: 2x + 3
State whether the following is a polynomial function give the zeros both real and imaginary of the function if they exist g x x 2-3x-4 x 2 plus 1?
The function ( g(x) = \frac{x^2 - 3x - 4}{x^2 + 1} ) is not a polynomial function because it is a rational function (the ratio of two polynomials). To find the zeros, we set the numerator equal to zero: ( x^2 - 3x - 4 = 0 ). The zeros can be found using the quadratic formula: ( x = \frac{3 \pm \sqrt{(3)^2 - 4(1)(-4)}}{2(1)} ), which simplifies to ( x = 4 ) and ( x = -1 ). The denominator ( x^2 + 1 = 0 ) gives imaginary zeros ( x = i ) and ( x = -i ).
How many terms does polynomials have?
3
A pupil wrote 2002 instead of 20002. find his error?
He did not write 3 zeros in the middle of the number. Instead, he wrote 2 zeros.
How do you write a googol of zeros?
Seeing as a googol of zeros would be 10^100 zeros, that number of zeros would be quite hard to write out. If you were to try and write out that many zeros by hand at 3 zeros per second, it would still take you 1.05699307 × 1092 years to write them all out.
What polynomials corresponds to the subtraction of the multivariate polynomials 19x 3 plus 44x 2 y plus 17 and y 3 - 11xy 2 plus 2x13x 3?
To subtract the multivariate polynomials (19x^3 + 44x^2y + 17) and (y^3 - 11xy^2 + 2x + 13x^3), we first rewrite the second polynomial with a negative sign: (- (y^3 - 11xy^2 + 2x + 13x^3)). Combining the polynomials gives us: [ (19x^3 - 13x^3) + 44x^2y + 17 - y^3 + 11xy^2 - 2x. ] This simplifies to: [ 6x^3 + 44x^2y + 11xy^2 - y^3 - 2x + 17. ] Thus, the resulting polynomial after subtraction is (6x^3 + 44x^2y + 11xy^2 - y^3 - 2x + 17).
How do we add in polynomials?
To add polynomials, align the like terms, which are terms that have the same variable raised to the same power. Then, simply combine the coefficients of these like terms. For example, in the polynomials (3x^2 + 2x + 1) and (4x^2 + 3), you would add (3x^2 + 4x^2) to get (7x^2) and combine the constant terms (1 + 3) to get (4), resulting in (7x^2 + 2x + 4).
How do you write 7 trillion 2 million 31 thousand all together in a number?
To write 7 trillion 2 million 31 thousand as a single number, you need to add up the values of each part. 7 trillion is 7,000,000,000,000 (7 followed by 12 zeros), 2 million is 2,000,000 (2 followed by 6 zeros), and 31 thousand is 31,000 (31 followed by 3 zeros). Adding these together, you get 7,002,031,000,000.
What is the difference between a polynomial and an equation?
Equations will have an equals sign. Such as: x + 3 = 2 Polynomials will not. Such as: 2x + 3
X - 2 is a factor of which polynomial?
We won't be able to answer this accurately without knowing the polynomials.
State whether the following is a polynomial function give the zeros both real and imaginary of the function if they exist g x x 2-3x-4 x 2 plus 1?
The function ( g(x) = \frac{x^2 - 3x - 4}{x^2 + 1} ) is not a polynomial function because it is a rational function (the ratio of two polynomials). To find the zeros, we set the numerator equal to zero: ( x^2 - 3x - 4 = 0 ). The zeros can be found using the quadratic formula: ( x = \frac{3 \pm \sqrt{(3)^2 - 4(1)(-4)}}{2(1)} ), which simplifies to ( x = 4 ) and ( x = -1 ). The denominator ( x^2 + 1 = 0 ) gives imaginary zeros ( x = i ) and ( x = -i ).
How do you write a number in the billions and trillions?
Billion has 9 zeros Example: 3 billion = 3,000,000,000 Trillion has 12 zeros Example: 5 trillion = 5,000,000,000,000
How many terms does polynomials have?
3
How many zeros are in the product of the numbers 8000 and 4000?
To determine how many zeros are in the product of 8000 and 4000, we first express these numbers in scientific notation: 8000 is (8 \times 10^3) and 4000 is (4 \times 10^3). The product is ( (8 \times 10^3) \times (4 \times 10^3) = 32 \times 10^6). Thus, the product has 6 zeros, as (10^6) contributes six zeros.
what is the factor of polynomials 6x+3?
9
