## Algebra

AlgebraProject description

Question 1: (1 point)

Write the polynomial in standard form, identify the degree of the polynomial, identify the leading coe?cient, and then classify it according to its degree and number of terms.

?3b2

(a)Write the polynomial in standard form.

(a)?3+b2

(b)?3b2

(c)?3b2+b

(d)?3b2+b+1

(b)The degree of the polynomial is ____________.

The leading coe?cient is ____________.

This polynomial is a __________ __________.

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Question 2: (1 point)

Simplify.

(3a4+(7a+6)?a2)?(7a?(6a3?7a2+5a)?6(a+6))

Enter the expression in simplest form.

(3a4+(7a+6)?a2)?(7a?(6a3?7a2+5a)?6(a+6)) =

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Question 3: (1 point)

Simplify.

(8×2?5)(7×2+5)

Enter the expression in simplest form.

(8×2?5)(7×2+5) =

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Question 4: (1 point)

Simplify.

(4p2+3pq?3q2)2

Enter the expression in simplest form.

(4p2+3pq?3q2)2=

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Question 5: (1 point)

Simplify.

(2?y?8z4)3

(a)22?y3?48y2z4+1922?yz8?512z12

(b)22?y3?48yz4?1922?yz8?512z12

(c)22?y3?48y2z4?1922?yz8?512z12

(d)22?y3?48y2z4?1922?yz8+512z12

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Question 6: (1 point)

Factor completely.

9×3(y+4)+24×2(y+4)?6x(y+4)

Enter the factors. Enter the original expression if it cannot be factored.

9×3(y+4)+24×2(y+4)?6x(y+4) =

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Question 7: (1 point)

Factor completely .

2y3+3y2?14y?21

Enter the factors as a product of two binomials. Enter the original expression if it cannot be factored.

2y3+3y2?14y?21 =

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Question 8: (1 point)

Factor completely.

x2?3x?18

Enter the factors as a product of two binomials. Enter the original expression if it cannot be factored.

x2?3x?18 =

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Question 9: (1 point)

Factor completely.

6×2?13x?15

Enter the factors as a product of two binomials. Enter the original expression if it cannot be factored.

6×2?13x?15 =

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Question 10: (1 point)

Factor completely.

48w2?68w+24

Enter the factors. Enter the original expression if it cannot be factored.

48w2?68w+24 =

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Question 11: (1 point)

Factor completely.

9z2?24z+16

Enter the factors. Enter the original expression if it cannot be factored.

9z2?24z+16 =

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Question 12: (1 point)

Factor completely.

4s2+12st+9t2

Enter the factors. Enter the original expression if it cannot be factored.

4s2+12st+9t2 =

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Question 13: (1 point)

Factor completely.

9n6?16p2

Enter the factors as a product of two binomials. Enter the original expression if it cannot be factored.

9n6?16p2 =

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Question 14: (1 point)

Factor completely.

9q6+16r2

Enter the factors as a product of two binomials. Enter the original expression if it cannot be factored.

9q6+16r2 =

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Question 15: (1 point)

Factor completely.

343?27s3

Enter the factors. Enter the original expression if it cannot be factored.

343?27s3 =

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Question 16: (1 point)

Factor completely.

125x3z9?27y3

Enter the factors. Enter the original expression if it cannot be factored.

125x3z9?27y3 =

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Question 17: (1 point)

Solve.

x2=3x+4

If there are multiple solutions, separate the answers with semicolons (;).

x=__________

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Question 18: (1 point)

Solve.

9×2+22x=?8

If there are multiple solutions, separate the answers with semicolons (;).

x=__________

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Question 19: (1 point)

Find the discriminant and identify the best description of the equation’s root(s).

2×2+5?x=5×2?2

(a)1 real solution

(b)2 complex solutions

(c)1 real and 1 complex root

(d)2 real solutions

(e)1 complex solution

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Question 20: (1 point)

At a tennis club, a 13,500ft2 rectangular area is partitioned into three rectangular courts of equal size. A total of 740feet of fencing is used to enclose the three courts, including the interior sides.

What are the possible dimensions, in feet, of the entire rectangular area?

Select all that apply.

(a)100feet by 135feet

(b)50feet by 135feet

(c)90feet by 150feet

(d)270feet by 50feet

(e)25feet by 540feet

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Question 21: (1 point)

A ladder of length 4x+1feet is positioned against a wall such that the bottom is x?1feet away from a wall. The distance between the floor and the top of the ladder is 4xfeet.

Find the length, in feet, of the ladder.

Assume that a right angle is formed by the wall and the floor.

The length of the ladder is ____________feet.

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Question 22: (1 point)

A small rock sits on the edge of a tall building. A strong wind blows the rock off the edge. The distance, in feet, between the rock and the ground tseconds after the rock leaves the edge is given by d=?16t2?4t+470.

If the answer is not an integer, enter it as a decimal. Round to the nearest hundredth, if needed.

How many seconds after the rock leaves the edge is it 440feet from the ground?

____________ seconds

How many seconds after the rock leaves the edge does it hit the ground?

____________ seconds