Question 1

Use the process of factoring by grouping to factor the polynomial. $6 x + 6 y + q x + q y$

Accepted Answer

The answer of Use the process of factoring by grouping...

Question 2

Set up an equation and solve the problem. The total surface area of a right circular cylinder is 36 $\pi$ square centimeters. If a radius of the base and the altitude of the cylinder are the same length, find the length of a radius.

Accepted Answer

A)  4 centimeters 
B)  9 centimeters 
C)  3 centimeters 
D)  2 centimeters 
E)  none of these

Question 3

Factor the trinomial completely. Indicate if it is not factorable using integers. $8 x ^ { 2 } - 22 x + 5$

Accepted Answer

The answer of Factor the trinomial completely. Indicate if it...

Question 4

Choose the correct solution set. $5 y ^ { 2 } - 21 y + 4 = 0$

Accepted Answer

A)  $\left\{ \frac { 1 } { 6 } , - 5 \right\}$ 
B)  $\left\{ \frac { 1 } { 5 } , - 4 \right\}$ 
C)  $\left\{ \frac { 1 } { 5 } , 4 \right\}$ 
D)  $\left\{ - \frac { 1 } { 7 } , - 4 \right\}$ 
E)  $\left\{ - \frac { 1 } { 5 } , - 4 \right\}$

Question 5

Use the process of factoring by grouping to factor the polynomial. $- 2 y ^ { 2 } + y + 12 y - 6$

Accepted Answer

The answer of Use the process of factoring by grouping...

Question 6

Factor the following polynomial completely. $4 p ^ { 2 } + 22 p + 30$

Accepted Answer

A)  $3 ( p + 2 ) ( 2 p + 5 )$ 
B)  $2 ( p - 3 ) ( 5 p + 2 )$ 
C)  $2 ( p + 3 ) ( 2 p + 5 )$ 
D)  none of these

Question 7

Use the process of factoring by grouping to factor the polynomial. $4 z ^ { 2 } + z - 28 z - 7$

Accepted Answer

A)  $( 4 z - 1 ) ( z + 7 )$ 
B)  $( 4 z + 28 ) ( z - 7 )$ 
C)  $( 4 z - 28 ) ( z - 1 )$ 
D)  $( 4 z + 1 ) ( z - 7 )$

Question 8

Solve the equation. $p ^ { 2 } - 14 p = 0$

Accepted Answer

A)  { 14, 0 } 
B)  { 1 } 
C)  { $-$ 14, 0 }

Question 9

Solve the equation. $4 x ^ { 3 } - 256 x = 0$ Please enter your answer as three numbers, separated by a comma.

Accepted Answer

The answer of Solve the equation. \(4 x ^ {...

Question 10

Use the process of factoring by grouping to factor the polynomial. $p ^ { 2 } - 2 p - 4 p + 8$

Accepted Answer

The answer of Use the process of factoring by grouping...

Question 11

Use the difference of squares pattern to factor the polynomial. $x ^ { 2 } - 9 y ^ { 2 }$

Accepted Answer

The answer of Use the difference of squares pattern to...

Question 12

Factor the following perfect square trinomial. $4 b ^ { 2 } + 4 b + 1$

Accepted Answer

A)  $( b + 2 ) ^ { 2 }$ 
B)  $( b - 2 ) ^ { 2 }$ 
C)  $( 2 b + 4 ) ^ { 2 }$ 
D)  $( 2 b - 1 ) ^ { 2 }$ 
E)  $( 2 b + 1 ) ^ { 2 }$

Question 13

Choose the correct solution set. $2 x ^ { 2 } - 5 x + 2 = 0$

Accepted Answer

A)  $\left\{ \frac { 1 } { 2 } , 2 \right\}$ 
B)  $\left\{ \frac { 1 } { 3 } , - 3 \right\}$ 
C)  $\left\{ - \frac { 1 } { 4 } , - 2 \right\}$

Question 14

Factor the following trinomial completely. $x ^ { 2 } - 3 x + 2$

Accepted Answer

A)  ( x + 2)( x $-$ 1) 
B)  ( x $-$ 2)( x + 1) 
C)  x ( x $-$ 3) + 2 
D)  ( x $-$ 2)( x $-$ 1) 
E)  ( x + 2)( x + 1)

Question 15

The sum of the areas of two circles is $421 \pi$ square inches. The length of a radius of the smaller circle is 1 inches less than the length of a radius of the larger circle. Find the length of a radius of the larger circle.

Accepted Answer

A)  14 in. 
B)  16 in. 
C)  13 in. 
D)  17 in. 
E)  15 in.

Question 16

Factor the following polynomial completely. $2 m ^ { 2 } + 11 m + 5$

Accepted Answer

The answer of Factor the following polynomial completely. \(2 m...

Question 17

Set up an equation and solve the problem. Suppose that the width of a certain rectangle is 0.3 of its length and the area of that same rectangle is 24.3 square meters. Find the length of the rectangle.

Accepted Answer

A)  10 meters 
B)  9 meters 
C)  12 meters 
D)  8 meters 
E)  none of these

Question 18

Find the greatest common factor of the given expressions. $21 p ^ { 5 } c ^ { 9 } , 24 p ^ { 4 } c ^ { 8 } \text { and } 51 p ^ { 7 } c ^ { 5 }$

Accepted Answer

The answer of Find the greatest common factor of the...

Question 19

The sum of two squares is not factorable using integers.

Accepted Answer

A) True 
 B)False

Question 20

Factor the trinomial completely. Indicate if it is not factorable using integers. $15 x ^ { 2 } + 26 x + 8$

Accepted Answer

A)  $( 5 x + 4 ) ( 3 x + 2 )$ 
B)  $( 5 x + 2 ) ( 3 x + 4 )$ 
C)  $( 5 x - 2 ) ( 3 x + 4 )$ 
D)  $( 5 x + 4 ) ( 3 x - 2 )$ 
E)  not factorable

Exam 7: Factoring, Solving Equations and Problem Solving

Use the process of factoring by grouping to factor the polynomial. 6x+6y+qx+qy6 x + 6 y + q x + q y6x+6y+qx+qy

Set up an equation and solve the problem. The total surface area of a right circular cylinder is 36 π\piπ square centimeters. If a radius of the base and the altitude of the cylinder are the same length, find the length of a radius.

Factor the trinomial completely. Indicate if it is not factorable using integers. 8x2−22x+58 x ^ { 2 } - 22 x + 58x2−22x+5

Choose the correct solution set. 5y2−21y+4=05 y ^ { 2 } - 21 y + 4 = 05y2−21y+4=0

Use the process of factoring by grouping to factor the polynomial. −2y2+y+12y−6- 2 y ^ { 2 } + y + 12 y - 6−2y2+y+12y−6

Factor the following polynomial completely. 4p2+22p+304 p ^ { 2 } + 22 p + 304p2+22p+30

Use the process of factoring by grouping to factor the polynomial. 4z2+z−28z−74 z ^ { 2 } + z - 28 z - 74z2+z−28z−7

Solve the equation. p2−14p=0p ^ { 2 } - 14 p = 0p2−14p=0

Solve the equation. 4x3−256x=04 x ^ { 3 } - 256 x = 04x3−256x=0 Please enter your answer as three numbers, separated by a comma.

Use the process of factoring by grouping to factor the polynomial. p2−2p−4p+8p ^ { 2 } - 2 p - 4 p + 8p2−2p−4p+8

Use the difference of squares pattern to factor the polynomial. x2−9y2x ^ { 2 } - 9 y ^ { 2 }x2−9y2

Factor the following perfect square trinomial. 4b2+4b+14 b ^ { 2 } + 4 b + 14b2+4b+1

Choose the correct solution set. 2x2−5x+2=02 x ^ { 2 } - 5 x + 2 = 02x2−5x+2=0

Factor the following trinomial completely. x2−3x+2x ^ { 2 } - 3 x + 2x2−3x+2

The sum of the areas of two circles is 421π421 \pi421π square inches. The length of a radius of the smaller circle is 1 inches less than the length of a radius of the larger circle. Find the length of a radius of the larger circle.

Factor the following polynomial completely. 2m2+11m+52 m ^ { 2 } + 11 m + 52m2+11m+5

Set up an equation and solve the problem. Suppose that the width of a certain rectangle is 0.3 of its length and the area of that same rectangle is 24.3 square meters. Find the length of the rectangle.

Find the greatest common factor of the given expressions. 21p5c9,24p4c8 and 51p7c521 p ^ { 5 } c ^ { 9 } , 24 p ^ { 4 } c ^ { 8 } \text { and } 51 p ^ { 7 } c ^ { 5 }21p5c9,24p4c8 and 51p7c5

The sum of two squares is not factorable using integers.

Factor the trinomial completely. Indicate if it is not factorable using integers. 15x2+26x+815 x ^ { 2 } + 26 x + 815x2+26x+8

Use the process of factoring by grouping to factor the polynomial. $6 x + 6 y + q x + q y$

Set up an equation and solve the problem. The total surface area of a right circular cylinder is 36 $\pi$ square centimeters. If a radius of the base and the altitude of the cylinder are the same length, find the length of a radius.

Factor the trinomial completely. Indicate if it is not factorable using integers. $8 x ^ { 2 } - 22 x + 5$

Choose the correct solution set. $5 y ^ { 2 } - 21 y + 4 = 0$

Use the process of factoring by grouping to factor the polynomial. $- 2 y ^ { 2 } + y + 12 y - 6$

Factor the following polynomial completely. $4 p ^ { 2 } + 22 p + 30$

Use the process of factoring by grouping to factor the polynomial. $4 z ^ { 2 } + z - 28 z - 7$

Solve the equation. $p ^ { 2 } - 14 p = 0$

Solve the equation. $4 x ^ { 3 } - 256 x = 0$ Please enter your answer as three numbers, separated by a comma.

Use the process of factoring by grouping to factor the polynomial. $p ^ { 2 } - 2 p - 4 p + 8$

Use the difference of squares pattern to factor the polynomial. $x ^ { 2 } - 9 y ^ { 2 }$

Factor the following perfect square trinomial. $4 b ^ { 2 } + 4 b + 1$

Choose the correct solution set. $2 x ^ { 2 } - 5 x + 2 = 0$

Factor the following trinomial completely. $x ^ { 2 } - 3 x + 2$

The sum of the areas of two circles is $421 \pi$ square inches. The length of a radius of the smaller circle is 1 inches less than the length of a radius of the larger circle. Find the length of a radius of the larger circle.

Factor the following polynomial completely. $2 m ^ { 2 } + 11 m + 5$

Find the greatest common factor of the given expressions. $21 p ^ { 5 } c ^ { 9 } , 24 p ^ { 4 } c ^ { 8 } \text { and } 51 p ^ { 7 } c ^ { 5 }$

Factor the trinomial completely. Indicate if it is not factorable using integers. $15 x ^ { 2 } + 26 x + 8$