A rectangle with positive area has length represented by the expression 4a2+7a-2 and width by 2a2+3a. Write expressions in terms of a for the perimeter and area of the rectangle. Give your answers in standard polynomial form and show your work.
Perimeter:
Area:
Multiply, then subtract the polynomials.
Factor out the greatest common factor of each expression.
a. 50x-80y
b. 6ab-36a2b3
Factor each of the following differences of squares completely.
a. 25w2-16z2
b. f2-100
Factor each trinomial.
a. x2 + 11x + 24
b. a2 + 3a + 2
Factor each trinomial.
a. c2 + 2c – 35
b. z2 + 9z – 36
Factor each trinomial.
a. x2 – 5x + 6
b. x2 – 14x + 49
Factor each polynomial fully.
a. 4x2 + 20x + 24
b. 9x2 + 90x – 99
Find the length and width of a rectangle whose area can be represented by the expression (w2-25)in2.
Length (longer side):
Width (shorter side):
Extra Credit
Graph the equation 6x+4y=12 on the xy-coordinate plane.
Identify the x-intercept of the graph and the y-intercept of the graph.
EXTRA CREDIT!
A random sample of 200 teenagers participated in a taste test. Each teenager sampled four choices of fruit drink (labeled A, B, C and D), and then were asked to pick a favorite. The table shows the results of this taste test.
Based on the information given, which of the given statements are true?
Select all that apply.