A polynomial can have as many 0s as its order - the power of the highest term.
A polynomial can have as many 0s as its order - the power of the highest term.
A polynomial can have as many 0s as its order - the power of the highest term.
A polynomial can have as many 0s as its order - the power of the highest term.
A polynomial can have as many 0s as its order - the power of the highest term.
it is infinite. the most zeros in a number that we know today would have to be a hundred zeros. that number is called a google.
If a polynomial p(x), has zeros at z1, z2, z3, ... then p(x) is a multiple of (x - z1)*(x - z2)*(x - z3)... To get the exact form of p(x) you also need to know the order of each root. If zk has order n then the relevant factor in p(x) is (x - zk)n
Because they just have zeros after them.
If you have the zeros of a polynomial, it is easy, almost trivial, to find an expression with those zeros. I am not sure I understood the question correctly, but let's assume you have the zero 2 with multiplicity 2, and other zeros at 3 and 5. Just write the expression: (x-2)(x-2)(x-3)(x-5). (Example with a negative zero: if there is a zero at "-5", the factor becomes (x- -5) = (x + 5).) You can multiply this out to get the polynomial if you like. For example, if you multiply every term in the first factor with every term in the second factor, you get x2 -2x -2x + 4 = x2 -4x + 4. Next, multiply each term of this polynomial with each term of the next factor, etc.
The centillion is the largest non-abstract number recognized by mathematicians. It has 303 zeros in America and 600 in Great Britain.
it is infinite. the most zeros in a number that we know today would have to be a hundred zeros. that number is called a google.
It is useful to know the linear factors of a polynomial because they give you the zeros of the polynomial. If (x-c) is one of the linear factors of a polynomial, then p(c)=0. Here the notation p(x) is used to denoted a polynomial function at p(c) means the value of that function when evaluated at c. Conversely, if d is a zero of the polynomial, then (x-d) is a factor.
It ends in two zeros.
If a polynomial p(x), has zeros at z1, z2, z3, ... then p(x) is a multiple of (x - z1)*(x - z2)*(x - z3)... To get the exact form of p(x) you also need to know the order of each root. If zk has order n then the relevant factor in p(x) is (x - zk)n
You can't know if a general polynomial is in factored form.
A [single] term cannot be polynomial.
Because they just have zeros after them.
If you have the zeros of a polynomial, it is easy, almost trivial, to find an expression with those zeros. I am not sure I understood the question correctly, but let's assume you have the zero 2 with multiplicity 2, and other zeros at 3 and 5. Just write the expression: (x-2)(x-2)(x-3)(x-5). (Example with a negative zero: if there is a zero at "-5", the factor becomes (x- -5) = (x + 5).) You can multiply this out to get the polynomial if you like. For example, if you multiply every term in the first factor with every term in the second factor, you get x2 -2x -2x + 4 = x2 -4x + 4. Next, multiply each term of this polynomial with each term of the next factor, etc.
The number googol is 10100, which is a 1 with 100 zeros, or you can see it as 10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 which is the same concept
The centillion is the largest non-abstract number recognized by mathematicians. It has 303 zeros in America and 600 in Great Britain.
The largest number known so far is called Grahams number. I don't know exactly how big it is, I just know it's bigger than a googleplex. A "google" is a 1 followed by 100 zeros, and a googleplex is a 1 followed by a google of zeros.
I suppose you mean factoring the polynomial. You can check by multiplying the factors - the result should be the original polynomial.