Parts of a Polynomial
Name by degree and number of terms
x² + 3x
What is a quadratic binomial?
(3x + 2) + (7x - 1)
What is 10x + 1?
(3x + 2) - (7x - 1)
What is -4x + 3?
2(3x)
What is 6x
3x(x²)
What is 3x³
What is the leading coefficient? 4x² - 8xy + y
What is 4?
(-2x - 4) + (-3x + 2)
What is -5x -2 ?
(-2x - 4) - (-3x + 2)
What is x - 6 ?
4x(x³ + x² - 4)
What is 4x⁴ + 4x³ - 16x?
2x(2x⁴ - x + 1)
What is 4x⁵ - 2x³ + 2x
What is the constant term in this polynomial?
14m² - 9
What is -9?
(4x³ - 2x + 5) + (9x + x³)
What is 5x³ + 7x + 5 ?
(4x³ - 2x) - (9x + x³ + 5)
What is 3x³ -11x - 5
Multiply
(x + 6)(x + 1)
What is x² + 7x + 6?
(x + 8)(x - 3)
What is x² + 5x - 24
What is the degree of the polynomial?
13x²y² + 9x²y - 4y
What is 4?
(7x³ + 3x² - 2x + 1) + (15x + 11 - x³ + x²)
What is 6x³ + 4x² + 13x + 12?
Can you subtract this?
(7x³ + 3x² - 2x + 1) - (15x + 11 - x³ + x²)
What is 8x³ + 2x² - 17x - 10?
Multiply
(2x - 3)(5x + 5)
What is 10x² - 5x - 15?
(3x - 4)(x + 9)
What is 3x² + 23x - 36
Rewrite in standard form. What is the leading coefficient and degree of the third term? 4y² - 8y + 7y³ - 9
What is 7?
What is -8y?
(15x² - 3x + 8) + (-x² + 1) + (-14x² + 8x)
What is 5x + 9?
Yikes! How about this?
(15x² - 3x + 8) - (-x² + 1) - (-14x² + 8x)
What is 30x² -11x + 7?
Multiply! Yes, you can do this!
(4x - 2)(x³ + 2x² - 1)
What is 4x⁴ + 6x³ - 4x² - 4x + 2
A bedroom has a length of x+3 feet
and a width of x-1 feet. Write a polynomial to express the area of the bedroom. Then calculate the area if x=10.
What is x2 + 2x − 3?
What is 117 square feet?