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(Answer) MATH114N – Week 3 Assignment: Solving Polynomial Equations by Factoring

QUESTIONS

Question 1

Solve: (n + 6)= 0.

Question 2

The product of two consecutive even integers is 224. Find the integers.

Note: Each set of brackets represents one solution.

Question 3

Solve: (q)(11q + 4) =0.

Question 4

Gianna is going to throw a ball from the top floor of her middle school. When she throws the ball from 48feet above the ground, the function h(t)=−16t2 + 32t + 48 models the height, h, of the ball above the ground as a function of time, t. Find the times the ball will be 48feet above the ground.

Question 5:

Solve: 4a3+10a2−6a = 0.

Question 6

Solve: −9m3 −33 m2−18m = 0.

Question 7:

Solve: 5m2m−6 = 0. Multiple answers, if any, should be separated by a comma. Enter only integer(s) or fraction(s).

Question 8

Solve: 2m3 +2m2 − 24m = 0

(Use a comma to separate multiple solutions.)

Question 9

Solve: (8y + 5)2 = 0.

Question 10

Solve: (4w)(10w−7)=0.

Question 11

Gianna is going to throw a ball from the top floor of her middle school. When she throws the ball from 48feet above the ground, the function h(t)=−16t2+32t+48 models the height, h, of the ball above the ground as a function of time, t. Find the zero of this function that tells us when the ball will hit the ground.

Question 12

A reflecting pool is shaped like a right triangle with one leg along the wall of a building. The hypotenuse is 9feet longer than the side along the building. The third side is 7feet longer than the side along the building. Find the lengths of all three sides of the reflecting pool.

ANSWERS:

Question 1

Solve: (n + 6)= 0.

Answer:  n = -6

Question 2

The product of two consecutive even integers is 224. Find the integers.

Note: Each set of brackets represents one solution.

Answer: {14,16} and {-16,-14}

Question 3

Solve: (q)(11q + 4) =0.

Answer: q=0,-4\11

Question 4

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