All
Classify:
2x⁴+14x³−2x²
Trinomial
What are the things that we need to consider in adding or subtracting polynomials.
Answers may vary.
What is the degree of the polynomial:
7x3 – 8x2 + 9
3
An expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).
Polynomials
Simplify the expression
(x - 3)2
x2 - 6x + 9
True or False.
"Subtracted from" and "less than" are terms that mean you need to "turn around" or "flip" the terms around.
True
Translate into algebraic expression.
One-sixth of the sum of 7 and k.
1/6(7+k)
According to exponent rules, when we raise a power to another exponent we _______ the exponents.
a. add
b. subtract
c. multiply
d. divide
c. multiply
Find the sum.
(3y2 + y3 - 5) + (4y2 -4y + 2y3 + 8)
3y3 + 7y2 - 4y + 3
Divide the polynomial.
(15x9-40x6) ÷ (5x3 )
3x6 - 8x3
True or False: The following is a polynomial:
2x4 + 3x3 - 5x-2 + x -12
False
Translate into an algebraic expression.
A number less than seventy-five is twenty-seven
75 - a = 27
True or False.
In order to multiply powers with the same base, we add their exponents.
True
Find the difference.
(3- 2x + 2x2) - (4x -5 +3x2)
-x2 -6x + 8
Simplify the expression.
-3x2( 7x2 - x + 4)
-21x4 + 3x3 -12x2
Differentiate linear expression to quadratic expression.
Answers may vary.
Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.
4m − 8
Determine the degree of the following polynomial:
-7xy3z2
6
Add the following polynomials:
(x3 + 6x2 - 5) + (-6x2 + 4x3 + 3)
5x3 - 2
Find the quotient.
(8x8-8x2-28x) ÷ 4x
4x2+12x+9
Translate into words.
3 + 2s = 32
Three increased by two times a number is thirty-two
Translate into algebraic expression.
Two-fifths of the sum of b and 4 plus the product of 5 and z
2/5(b+4) + 5z
Simplify.
(14a5b6c10 / 2a10b6c3)3
343c21/a15
Subtract.
(5x4 - 4x3 - 2x2 + x - 19) - (x4 + 5x3 + 8x2 + x + 5)
4x4 - 9x3 - 10x2 - 24
Multiply.
(b+3)(b2+2b+1)
b3+5b2+7b+3