# 4.6 Word Problems

# Question 29

### Nmehta

"Your friend is using Descartes's Rule of Signs to find the number of negative real roots of x^3 + x^2 + x + 1 = 0. Describe and correct the error."P(-x) = (-x)^3 +(-x)^2 + (-x) +1= -x^3 - x^2 - x +1"

Because there is 3 which is odd number you use 3 and count by odds to to zero

so there id 3 or -1 real roots

# Question 31

A gardener is designing a new garden in the shape of a trapezoid. She wants the shorter base to be twice the height and the longer base to be 4 feet longer than the shorter base. If she has enough topsoil to create a 60ft^2 garden, what dimensions should she use for the garden?

Use a Brace Map to take the whole word problem and separate it into its parts. The area of a trapezoid is A = (1/2)(h)(b1 + b2). Take pictures or screen shots of your work and add them to your Tackk. Use text boxes and complete sentences to explain your work and answer the question.

the area formula is A=(1/2)(h)(b1+b2) =

60=(.5)(h)(2h+4+2h)