Choose all the correct statements about the following polynomial function and x-value.
p(x) = 323 + 11x2 – 41 – 6
i =
-2
0
p(-2) = 22
if p(a) = 0, then there is a root at x = a.
358 + 1172 – 45 – 6 = 3x2 + 5x + 6 +
1 2
0
p(-2) = -66
the remainder theorem is used to determine if (x - a) is a factor of p(x) and if p(x) can
be factored.
o 33 +
303 + 11: 2 – 45 – 6 – 302 + 5x - 14 +
1 + 2
+ 2
since p(a) > 0, (x - a) is a factor of p(x).

Agroup of students want to create a garden. they do not know the exact measurements but they propose using a variable to represent the length and width of the garden. the length of the garden is 10 feet longer than double the width. use a single variable to write algebraic expressions for both the length and width of the garden. write an algebraic expression for the area of the garden. use mathematical terms to describe this expression.

Point r divides in the ratio 1 : 3. if the x-coordinate of r is -1 and the x-coordinate of p is -3, what is the x-coordinate of q? a. b. 3 c. 5 d. 6 e. -9

The value of x in this system of equations is 1. 3x + y = 9 y = –4x + 10 substitute the value of y in the first equation: combine like terms: apply the subtraction property of equality: apply the division property of equality: 3x + (–4x + 10) = 9 –x + 10 = 9 –x = –1 x = 1 what is the value of y?