If p, q, r, ... are the roots of the equations, then (x-p), (x-q), (x-r), etc are the factors (and conversely).
6The line of best fit has the equation = -3 + 2.5x. What does this equation predict for a value of x = 3?Answer: 4.5
x = sqrt 100
It is an incorrect equation.
The equation is xy = 5*9 = 45 Alternatively, y = 45/x
y = -2.5 is a equation. And solution to the equation is finding the value of the variable. If we see the equation y is already equal to -2.5 which is the solution to the 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.
Equations will have an equals sign. Such as: x + 3 = 2 Polynomials will not. Such as: 2x + 3
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.
There are no prime factors in that equation.
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.
Yes. This is because the rate of change is equal to a (i.e. the slope is a). a never changes, so its linear.
equation works for n = 0 and n = 1 as factors are n and n - 1
The "degree" is the highest power - in this case, the 3 in 4x3 (4 times to the third power).
false - apex
3, 7, 21. 3x7 is the only equation that equals 21, and so these are the only factors of 21.
False
This reduces to the equation y=4x-3 (by the division of all factors by 2).