Classifying polynomials
The specific name for a polynomial with 2 terms.
What is a binomial?
The standard form of a polynomial.
What is from the highest exponent to the lowest?
The form that the factored polynomial equation should be in.
What is P(x)=0?
Use synthetic division to divide x3-14x2+51x-54 by x+2. What is the quotient and remainder?
Quotient: 1x2-16x+83 Remainder: -220
The fourth row of Pascal's triangle.
What is 1, 4, 6, 4, 1?
The name for a polynomial with a degree of 4.
What is quartic?
3 and -3
f(x)=x2-9
What are the real or imaginary solutions of the polynomial equation: x5+4x3=5x4-2x3
x=0, x=2, x=3
Use synthetic division to divide x3-57x+56 by x-7. What is the quotient and remainder?
Quotient: 1x2+7x-8 Remainder: 0
1a6+6a5b+15a4b2+20a3b3+15a2b4+6ab5+1b6
The number of terms in a monomial.
What is 1 term?
3, 3, and -3
f(x)=x3-3x2-9x+27
What are the real or imaginary solutions of the polynomial equation: x3=8x-2x2
x=0, x=-4, x=2
If you are given P(x)=x5-2x3-x2+2, what is P(3)?
P(3)=182
Use Pascal's triangle to expand: (a+b)8
1a8+8a7b+28a6b2+56a5b3+70a4b4+56a3b5+28a2b6+8ab7+1b8
The name for a polynomial with a degree of 5.
What is quintic?
-2, 2, and 3
f(x)=x3-3x2-4x+12
What are the real or imaginary solutions of the polynomial equation: x4=16
x=+-2i, x=-2, x=2
If you are given P(x)=x5-3x4-18x3+5x+20, what is P(-4)?
P(-4)=-640
Expand (2x-3)3 by using the binomial theorem
8x3-36x2+54x-27
Classify the polynomial by degree and number of terms: 9x4+3x+5
Quartic Trinomial
-2, -2, 2, and 3
f(x)=x4-x3-10x2+4x+24
The meaning of SOAP for the technique with the sum or difference of cubes.
What is Same Opposite Always Positive?
wIf the polynomial x3+6x2+11x+6 expresses the volume in cubic inches of the box, and the width is (x+1) inches, what are the dimensions of the box?
w= (x+1) inches, l=(x+3) inches, h=(x+2) inches
Expand (3x-2)5 by using the binomial theorem
243x5-810x4+1080x3-720x2+240x-32