identifying polynomials
the form a polynomial should be put in
what is standard form
an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables
what is a polynomial
what should you do with like terms?
Place like terms together
what should you do first when subtracting?
what is reverse the sign of each term we are subtracting
solve (x+2) (x2-2x+1)
what is X3-3x+2
the highest degree
what is the highest exponent
if there is a negative exponent what is it?
it is not a polynomial
how do you determine if they are not like terms?
because the variables and/or their exponents are different
what should you do when subtracting horizontally?
what is the "minus" signs will need to be taken carefully through the parentheses.
solve (2x-5)(3x2-4x+1)
what is 6x3-23x2+22x-5
numbers written in front of the variable with the largest exponent
what is the leading coefficient
how can you determine a polynomial?
If all variables have integer exponents
solve: 2x2 + 6x + 5 and 3x2 - 2x - 1
what is : 5x2 + 4x + 4
solve (6x3 – 2x2 + 8x) – (4x3 – 11x + 10)
what is 2x3 – 2x2 + 19x – 10
solve (4x+9)(2x2-5x+3)
what is 8x3-2x2-33x+27
the highest of the degrees of its monomials (individual terms) with non-zero coefficients.
what is the degree of a polynomial
what are the different types of polynomials?
what is monomial, binomial, and trinomial
solve: (3x3 + 3x2 – 4x + 5) + (x3 – 2x2 + x – 4)
what is 4x3 + x2 – 3x + 1
solve 3x2 – 5x – 1) – (x3 – 2x2 + 4) + (9x3 + 5x2 – 3x – 2)
what is 8x3 + 10x2 – 8x + 1
solve (x-3)(x2-8x+5)
what is x3-11x2+29x-15
number of terms in -2x3 + 5x + 8
what is 3 terms
solve: 0= x2 + 2x +5
what is 0 = 5x +1
solve: (2x2 + 6y + 3xy) , (3x2 - 5xy - x) and (6xy + 5)
what is 5x2 + 6y + 4xy - x + 5
solve 3x2+4x-2 - 7x2-10x+17
what is 10x2+14x-9
solve (2x+1)(10x2-2x-4)