Adding Polynomials
How many terms does this polynomial have? What is the formal name of it called? 3q+7+q
3 & Trinomial
How many terms are there? 4x3-3x
2
Solve this polynomial 8x+4/4
2x+1
What are the x-intercepts of the polynomial y=(x+3)(x+1)(x-5)?
x= -3, -1, 5
Represent this polynomial using algebra tiles.
(4 - 5p) - (-7p + 3)
2p + 1
Name for 1 term (related to polynomials)
monomial
Solve this polynomial (2r)(-6r)(18r2)
-216r4
Solve this polynomial (n2 + 5n − 50) ÷ (n − 5)
n + 10
Name the y-intercept of the function x3+5x2−32x−7 and include what term is called that represents the y-intercept in standard form
*bonus 100 points for another way to algebraically find the y-intercept
-7 and the constant or the c term
*bonus substitute 0 for all x values and solve
Simplify this polynomial. (-3m2+4mn-n2) - (5m2+7mn+2n2)
-m2-3mn-3n2
What dictates the end behavior of a polynomial?
ex: 4x2+10x-9
The leading term
Solve this polynomial (2x+3)(x+6)(x+5)
2x3+25x2+93x+90
Solve this polynomial -26c2+39c-13c/-13c
2c-3+1
Name each x-intercept and its multiplicity
y=(x-2)2(x+7)3
x=2 m=2, x=-7 m=3
Name 3 synonyms for x-intercepts
horizontal intercepts, roots, and zeroes
(a3+ 13a2+39a−18) ÷ (a +6)
a2+7a−3
What is the name of the term that determines how narrow or wide a quadratic will be?
ex: y=1/2(x+2)(x+1) y=2(x+2)(x+1)
the a value
Simplify (6a3+12a2-15a)-(4a2-12a+8)
6a3+8a2-3a-8
What is the leading term and the end behavior of
-x2(-4x2-3x-11)(x-5)
-4x5 odd/negative
(n2+ 10n + 18) ÷ (n + 5)
n + 5 − 7 /n + 5
We know that B(2)=0 and B(x)=3x2+15x-42. According to the remainder theorem, how can you prove this algebraically? and what will your answer tell you?
You can prove this algebraically by substituting 2 for each x and you will get 0. Because 0 is your answer for y this proves that the factor x-2 is a factor of B(x)