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What do you call the sum of two or more monomials or even one monomial whose exponents are whole numbers?
A polynomial.
What is a quadratic polynomial which has no zeros?
A quadratic polynomial must have zeros, though they may be complex numbers.A quadratic polynomial with no real zeros is one whose discriminant b2-4ac is negative. Such a polynomial has no special name.
When the polynomial in p(x) is divided by (x plus a)?
The result is a polynomial q(x) whose order is one fewer than the order of p(x) and a remainder term of the form b/(x + a).
How do you polynomial whose zeros are given?
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
What are polynomials that can be factored?
A polynomial can be factored if it has a rational root. If f(x) is a polynomial function of x and if there is a rational number p such that f(p) = 0 then f(x) = (x-p)*g(x) where g(x) is a polynomial whose order is one less than the order of f(x). If p = q/r where q and r are integers, then (x - p) = (x - q/r) = (rx - q)/r which is a rational binomial factor. This does not work if p is irrational which is why p must be rational.
A polynomial whose greatest monomial factor is 1?
prime
What do you call the sum of two or more monomials or even one monomial whose exponents are whole numbers?
A polynomial.
How does knowing one linear factor of a polynomial help find the other factors?
If you know one linear factor, then divide the polynomial by that factor. The quotient will then be a polynomial whose order (or degree) is one fewer than that of the one that you stared with. The smaller order may make it easier to factorise.
What are two numbers whose greatest common factor is 479?
479 and 958 are two numbers whose greatest common factor is 479, among others.
What are two numbers whose Greatest common factor is 12?
12 and 24.
What is a pair of numbers whose Greatest Common Factor is 1?
4 and 9
What two monomials whose greatest common factor is 4M?
8M and 12M2
What two numbers Whose greatest common factor is 8?
8 and 16.
What are two numbers whose greatest common factor is 90?
90 and 180
What pair of numbers whose Greatest Common Factor is 5?
10 and 15
What is the greatest common factor of two numbers whose sum is 24 and whose difference is 6?
16 and 8
What are the 2-digit numbers whose Greatest common factor is 12 and whose LCM is 72?
24 & 36
