Standard Form & Degree
Classify this polynomial by degree and name: 8a3
What is a cubic (3rd degree) monomial
Simplify the polynomial:
8c2+5c-2+6c2-8c-10
What is 14c2-3c-12
The expression (x+7)(x+4) is equivalent to this polynomial.
What is x2+11x+28
How many terms are in the polynomial 2h2+11h-63?
3 terms
Classify this polynomial by degree and name: -3c4+8c3+c
What is a 4th degree trinomial
The product of 5x4 and 3x7
What is 15x11
Simplify: (2h-7)(h+9)
What is 2h2+11h-63
Name a coefficient in the polynomial 2h2+11h-63
2 and 11 are coefficients.
This polynomial in standard form: 5y-2y2
What is -2y2+5y
Find the sum of (6x2+7) and (3x2+1)
What is 9x2+8
Simplify: -w2(w-15)
What is -w3+15w2
Express the product of 3m2+2m-20 and m+2 in standard form.
Name a constant in the polynomial 2h2+11h-63.
What is -63
Students were asked to write 9y3-10y+7y6-5y9 in standard form. Show below are the four students responses. Which student is correct and why?
Karli: -10y+9y3+7y6-5y9
Daniel: -5y9+7y6+9y3-10y
Lisa: -5y9+9y3-10y+7y6
Trevor:-10y-5y9+7y6+ 9y3
Daniel is correct because he rearranged the terms in decreasing exponential order
Subtract 5k2+3k-7 from 2k2-k+3
What is -3k2-4k+10
The expression 6(x+8)-(4x+9) is equivalent to what polynomial?
What is 2x+39?
When written in standard form, what is the product of v+6 and v-6?
What is v2-36
What is the leading coefficient of -3c4+8c3+c?
What is -3?
When multiplying polynomials for a math assignment, Jake found the product to be -2a2+7-8a+9a3. He then had to state the leading coefficient of this polynomial. Jake wrote down -2. Do you agree with Jake's answer? Explain.
No, the leading coefficient is the coefficient on the term with the highest exponent. So, the leading coefficient is 9.
Subtract 2g4-3g+9 from -g3+12g. Express the difference in standard form.
What is -2g4-g3+15g-9
The expression (4y2-3y+5)+3(10-6y) is equivalent to what?
What is 4y2-21y+35?
What is the product of 8x+2 and 3x2-4x-9?
What is 24x3-26x2-80x-18?
Name as many characteristics of the polynomial as you can using our expression vocabulary
9x2-8
2nd degree (quadratic) binomial
Leading Coefficient = 9
variable = x
2 terms
constant =-8