Naming Polynomials
Name the degree of the following polynomial:
x2-4x+3x6-5
6
Explain how to rewrite an expression in standard form.
Order the terms from highest degree to lowest degree
3x - 3 + 7 + 5x
8x + 4
(x+1)(x+2)
x2+3x+2
What is the formula for slope?
y2-y1 / x2-x1
Identify the polynomial as a monomial, binomial, or trinomial.
3x2y5
Rewrite into standard form
4 - x2 + 5x - 7
-x2+5x-3
(x2-1)-(x4+3x2+9)
-x4-2x2-10
(2x-5)2
4x2-20x+25
Determine if this is exponential growth or decay.
4(0.5)x
decay
Determine the leading coefficient of
4x5-6x+7x4-1
4
Rewrite into standard form.
(x3-3x)+5x2-8+6x
x3+5x2+3x-8
(9ab2+7a-5b)+(8-5a+6b)
9ab2+2a+b
3x(-2x2+5x+8)
-6x3+15x2+24x
Determine if the function is linear, quadratic, or exponential.
y = 3x + 1
linear
Write a binomial with degree 1 and leading coefficient of 6
6x + 1
(many correct answers)
Rewrite into standard form.
3x2y - 9 + 4x3y2
4x3y2 + 3x2y - 9
(-2g2h3+gh+7)-(6-g+h-2g2h3)
gh+g-h+1
(2x-1)(x2-4x-1)
2x3-9x2+2x+1
Determine the next 3 terms in the sequence.
4, -8, 16, -32,...
64, -128, 256
Write a trinomial expression with a degree of 4 and leading coefficient of -2
-2x4+2x+1
(many correct answers)
Rewrite into standard form.
-7x + 5y2 - y + 8
5y2-y-7x+8
3x+7-5x2+9x-8-2x
-5x2+10x-1
(-2x2-x+4)(x3+6x+1)
-2x5-x4-8x3-8x2+23x+4
Solve for x.
5x + 18 = 10x + 68
x=-10