When it is of the form x3 + y3 or x3 - y3. x or y can have coefficients that are perfect cubes, or even ratios of perfect cubes eg x3 + (8/27)y3.
A polynomial
23 = 8, 33 = 27. Sum 35, difference 19...
A term only has variables and constants multiplied among themselves (or, in some cases, divided), such as 5xy, or -3x3. A polynomial is the sum of several such terms.
True
No, a polynomial is the sum of any two monomials, i.e., any two terms, for example, a + b, a - b, a2 + b2, x2y -3, etc. ("Sum" may include negative terms.)No, a polynomial is the sum of any two monomials, i.e., any two terms, for example, a + b, a - b, a2 + b2, x2y -3, etc. ("Sum" may include negative terms.)No, a polynomial is the sum of any two monomials, i.e., any two terms, for example, a + b, a - b, a2 + b2, x2y -3, etc. ("Sum" may include negative terms.)No, a polynomial is the sum of any two monomials, i.e., any two terms, for example, a + b, a - b, a2 + b2, x2y -3, etc. ("Sum" may include negative terms.)
A polynomial
Sum and difference of two cubes is factored this way : a3 + b3 = (a + b)(a2 - ab + b2) a3 - b3 = (a - b)(a2 + ab + b2)
That means that you calculate the cubes of two numbers, and then either add or subtract them.
23 = 8, 33 = 27. Sum 35, difference 19...
That's either the sum or difference of two cubes.
The sum of two polynomials is always a polynomial. Therefore, it follows that the sum of more than two polynomials is also a polynomial.
A term only has variables and constants multiplied among themselves (or, in some cases, divided), such as 5xy, or -3x3. A polynomial is the sum of several such terms.
A binomial is the sum of two monomials. A trinomial is the sum of three monomials. A polynomial is the sum of one or more monomials.A binomial is the sum of two monomials. A trinomial is the sum of three monomials. A polynomial is the sum of one or more monomials.A binomial is the sum of two monomials. A trinomial is the sum of three monomials. A polynomial is the sum of one or more monomials.A binomial is the sum of two monomials. A trinomial is the sum of three monomials. A polynomial is the sum of one or more monomials.
It is called the property of "closure".
Step 1. Look for a GCF. Step 2. Look for the difference of squares. ex: a2 - b2 = (a+b)(a-b) Step 3a. Look for the difference of cubes. ex: a3 - b3 = (a-b)(a2 + ab + b2) Step 3b. Look for the sum of cubes. ex: a3 + b3 = (a+b)(a2 - ab + b2)
Answer this ques Which polynomial represents the sum below?(-x3 + 3x2 + 3) + (3x2 + x + 4)tion…
Do in this order. 1. All, find the gfc 2. Binomial, factor as difference of squares, sum of cubes, difference of cubes. 3. Trinomial, factor as a quadratic. 4. 4 or more terms, factor by grouping.