Multiplying Polynomials
What operation do you use when multiplying like bases?
Multiplication
When dividing by a like base what operation is used on the exponents?
Subtraction
What do you do when subtracting polynomials?
Change the subtraction sign to an addition sign and change the signs of all the terms in the polynomials being subtracted. Then Combine like Terms
solve.
(3g2+4g+6)+(7g2+g+8)
10g2+5g+14
What is the Degree of this Polynomial
8x^5+6x^3+24x-5
Quintic
solve.
-3m(3m2+9)
-9m3-27m
(60n^2 +18n-24)/6
10n^2+3n-4
solve.
(8a+8)-(4a+3)
4a+5
What is one thing you do while adding polynomials?
When adding polynomials you would want to combine like terms.
Classify by the number of terms
2x^4-4x^2+7
Trinomial
solve.
(x+3)(x-7)
x^2 -4x-21
(8x^5+9x^4-6x^3-13x^2+2x)/(x)
8x^4+9x^3-6x^2-13x+2
solve.
(-4a3+3a+9)-(a-2)
-4a3+2a+11
solve.
(3b+5)+(2b+4)
(3b+5)+(2b+4)=5b+9
Rewrite this equation in standard form
-6x^7-2x^4-2x^2+3x+1
-6x^7-2x^4-2x^2+3x+1
solve.
(x-5)(x^2+3x-4)
x^3 -2x^2 -19x+20
(18x^7+26x^5-14x^4-6x^3)/(2x^3)
9x^4+13x^2-7x-3
solve.
(a-2)-(-4a3+2a+5)
4a3-a-7
solve.
9a2+8a+9+3+3a2
12a2+8a+12
What is the Leading Coeficiant of the Equation
4x-5x^2+x^5-2x^4
1
solve.
(3n+4)(3n-1)(n+2)
9n^3 +27n^2 +14n -8
(-18x^5y^3-6x^4y^5-20xy)/(-2xy)
9x^4y^2+3x^3y^4+10
Solve
(x3-2x2+3x-3)-(x2-2x-3)
x3-3x2+5x
solve.
16a2+10a
16a2+10a
Rewrite in standard form, state the degree and leading coefficient, and classify the polynomials by the number of terms.
2x^2-x^4+7
Standard Form: -x^4+2x^2+7
Degree: Quartic
Leading Coefficient: -1
# of terms: Trinomial