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If p, q, r, ... are the roots of the equations, then (x-p), (x-q), (x-r), etc are the factors (and conversely).

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Q: How are the factors of polynomial P of x related to the roots of polynomial equation P of x equals to 0?
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Why is a degree 1 polynomial equation ax plus by equals 0 called a linear equation?

A linear equation is one which represents a straight line. When drawn (y plotted against x), a degree 1 polynomial produces a straight line.


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


What are the solutions of the equation x3 plus 3x2-x-3 equals 0?

the solutions to this equation are -1,+1 and -3. you can solve this equation by using the polynomial long division method. we basically want to factorize this and polynomial and equate its factors to zero and obtain the roots of the equation. By hit and trial , it clear that x=1 i.e is a root of this equation. So (x-1) should be a factor of the given polynomial (LHS). Divide the polynomial by x-1 using long division method and you will get the quotient as x2+4x+3 and remainder would be 0 ( it should be 0 as we are dividing the polynomial with its factor. Eg when 8 is divided by any of its factor like 4,2 .. remainder is always zero ) Now, we can write the given polynomial as product of its factors as x3+3x2-x-3 = (x-1)(x2+4x+3) =(x-1)(x+1)(x+3) [by splitting middle term method] so the solutions for the given polynomial are obtained when RHS = 0, Hence x=-1 , X = +1, x=-3 are the solutions for this equation.


-2x9 equals -18 what is the prime factor?

There are no prime factors in that equation.


State the degree of the polynomial equation x to the 5th power plus 7x cubed minus 30x equals 0?

For the equation: x5+7x3-30x=0 The highest exponent in the entire equation is 5 (from x5), so the equation is of degree 5.


Why is one degree polynomial equation ax plus by plus c equals 0 called lenear equation?

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What is the answer to the equation 0 equals n2-n?

equation works for n = 0 and n = 1 as factors are n and n - 1


What degree polynomial equation is 4x3 plus 7x2 - 4x equals 0?

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If a polynomial is divided by (x-a) and the remainder equals zero then (x-a) is a factor of the polynomial?

false - apex


What are all the factors for 21?

3, 7, 21. 3x7 is the only equation that equals 21, and so these are the only factors of 21.


The polynomial x - 2 is a factor of the polynomial Fx equals 5x2 - 6x plus 4?

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What is the answer to 2y equals 8x-6?

This reduces to the equation y=4x-3 (by the division of all factors by 2).