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What is the square root of a polynomial?
The square root of a polynomial is another polynomial that, when multiplied by itself, yields the original polynomial. Not all polynomials have a square root that is also a polynomial; for example, the polynomial (x^2 + 1) does not have a polynomial square root in the real number system. However, some polynomials, like (x^2 - 4), have polynomial square roots, which in this case would be (x - 2) and (x + 2). Finding the square root of a polynomial can involve techniques such as factoring or using the quadratic formula for quadratic polynomials.
What property is used when finding the product of a monomial and a polynomial?
Distributive
What is the difference between factoring and expanding?
Factoring (or factorization) means finding combinations of integers that multiply together to give the integer being factored. ( As defined by eHow) 5 x 3 = 15 5 and 3 are factors of the product. finding the factors= Factoring Eq: X2 + 4x + 4 = 0 F: (x+2)(x+2) Expanding is literally expanding. Eq: (x+2)(x+2)= x2+4x+4 -hopes this helps
When finding the GCF of a polynomial can it ever be smaller than the smallest coefficent?
Yes.
What is the equation for finding the discriminant?
The discriminant of the quadratic polynomial ax2 + bx + c is b2 - 4ac.
What does factoring a polynomial mean?
It means finding numbers (constant terms), or polynomials of the same or smaller order that multiply together to give the original polynomial.
What is the difference in evaluating a polynomial and solving a polynomial?
Evaluating a polynomial is finding the value of the polynomial for a given value of the variable, usually denoted by x. Solving a polynomial equation is finding the value of the variable, x, for which the polynomial equation is true.
What is the square root of a polynomial?
The square root of a polynomial is another polynomial that, when multiplied by itself, yields the original polynomial. Not all polynomials have a square root that is also a polynomial; for example, the polynomial (x^2 + 1) does not have a polynomial square root in the real number system. However, some polynomials, like (x^2 - 4), have polynomial square roots, which in this case would be (x - 2) and (x + 2). Finding the square root of a polynomial can involve techniques such as factoring or using the quadratic formula for quadratic polynomials.
When finding the greatest common factor of a polynomial can it ever be larger than the smallest coefficient?
Yes, the greatest common factor is less than or equal to the smallest coefficient. For example, the greatest common factor of 38 and 8 is 2.
What is the difference of finding a special products and factoring?
square the first term, plus twice the product of the first and the secon, then square the second.
Finding values of polynomial functions?
Substitute that value of the variable and evaluate the polynomial.
What is the process of finding the factor is called?
factoring or factorizing
What property is used when finding the product of a monomial and a polynomial?
Distributive
What is the difference between factoring and expanding?
Factoring (or factorization) means finding combinations of integers that multiply together to give the integer being factored. ( As defined by eHow) 5 x 3 = 15 5 and 3 are factors of the product. finding the factors= Factoring Eq: X2 + 4x + 4 = 0 F: (x+2)(x+2) Expanding is literally expanding. Eq: (x+2)(x+2)= x2+4x+4 -hopes this helps
When finding the GCF of a polynomial can it ever be smaller than the smallest coefficent?
Yes.
What are some similarities between rational functions and polynomial function?
Rational functions and polynomial functions both involve expressions made up of variables raised to non-negative integer powers. They can have similar shapes and behaviors, particularly in their graphs, where they may exhibit similar end behavior as the degree of the polynomial increases. Additionally, both types of functions can be manipulated algebraically using addition, subtraction, multiplication, and division, although rational functions can include asymptotes due to division by zero, which polynomial functions do not have. Both functions can also be analyzed using techniques such as factoring and finding roots.
What is the equation for finding the discriminant?
The discriminant of the quadratic polynomial ax2 + bx + c is b2 - 4ac.
