Vocabulary!
What is a polynomial?
A expression with variables and exponents
(x+2)(x+3)
x^2+5x+6
A rectangle has sides (x + 6) and (x + 7), what does the expression for area represent (67!)
The total area of the rectangle
(x + 2)(x + 3) = x^2 + 6
What’s wrong?
They didn’t multiply all the terms
x^2 + 5x + 6
(x + 2)(x + 3)
What are like terms?
Terms with the same variables and exponents
(x + 4)(x + 5)
x^2 + 9x + 20
A square has side (x + 4), what does x^2 + 8x + 16 represent
The area of the square
(x + 4)(x + 5) = x^2 + 9x
What’s missing?
+20
x^2 + 7x + 10
(x + 5)(x + 2)
What is the degree of 3x^2+4x+7
2
(2x + 3)(x + 4)
2x^2 + 11x + 12
A rectangular playground has a length of (x + 8) feet and a width of (x + 3) feet, the school wants to put a rubber surface over the entire playground (Dont overthink it!)
x^2+11x+24
2(x + 3) = 2x + 3
What’s the mistake?
Didn't multiply both terms by 2 correctly
x^2 + 9x + 20
(x + 4)(x + 5)
What is the degree of 5x^4+2x^6+3x^3
6
(2x + 5)(3x + 4)
6x^2+ 23x+20
A rectangles area is 2x^2 + 11x + 5, what could its side lengths be?
(2x + 1)(x + 5)
(2x + 3)(x + 4) = 2x^2 + 7x + 12
Find the mistake
Middle term is wrong (should be 8x + 3x = 11x)
2x^2 + 11x + 5
(2x + 1)(x + 5)
Find the amount of terms and the degree in this problem 2x^5+ 3x^3 -x^2 +7x +9
5 terms and the degree is 5
(2x + 3)(x + 5) + (x + 4)(x + 2)
3x² + 19x + 23
A rectangles area is x^2 + 9x + 20, find two possible sets of side lengths
(x + 4)(x + 5) or (x + 5)(x + 4)
(x + 5)(x + 2) + (x + 3)(x + 1) = 2x^2 + 9x + 7
What should be the correct answer?
2x^2 + 11x + 13
3x^2 + 14x + 8
(3x + 2)(x + 4)