Algebra A unit one

What is the factored form of the expression 9x2+42x+49?

(3x+7)2

What is the factored form of the expression 36x2−49y2?36x2−49y2?

(6x+7y)(6x−7y)

What is the factored form of the expression x2−7x−18?

(x+2)(x−9)

What is the factored form of the expression x2−2x−15?

(x+3)(x−5)

what is the factored form of the equation x2-8x-48?

(x+4)(x-12)

what is the factored form of the equation x2-2x-63?

(x+7)(x-9)

Solve the quadratic equation x2−14x+24=0x2−14x+24=0 by completing the square.

12 2

What are the solutions of the equation (x−9)2=25?

14 4

what is the factored form of the equation 2m3-26m2+80m?

2m(m-5)(m-8)

What are the zeros of the function f(x)=x2−10x+21?

3 7

What is the factored form of the expression 3x2+6x−24?

3(x+4)(x−2)

Solve the quadratic equation −4x2+6x+16=0−4x2+6x+16=0 by completing the square.

3±73√4

What are the solutions to the equation (x−4)(x+2)=0?

4 -2

Ellen solved the equation x2−5=59x2−5=59 using the following steps.

In Line 4, she forgot to take the negative square root, because squaring both 88 and −8−8 equals 64.

Gemma completed the following steps to find the zeros of the function f(x)=3x2−6x−45.

In Step 4, when solving for x+3=0,x+3=0, Gemma should have subtracted 33 from both sides of the equation to get x=−3

What are the solutions, if any, of the equation x2+38=16?

This equation has no real solutions.

What are the zeros of the function f(x)=x2−36

Zeros occur when x=6x=6 and x=−6.

Enrique used the following steps to solve an equation

in Step 3, Enrique used the difference of squares pattern incorrectly when factoring

lesson 1

lesson 1

lesson 2

lesson 2

Nando solved the quadratic equation 4x2−24x−16=04x2−24x−16=0 by completing the square as shown.

step 2, step 6, step 7

which equations are correct

x2-169=(x-13)(x+13) 16x2-64y2=(4x-8y)(4x+8y) 9x2-1=(3x-1)(3x+1)

What are the solutions, if any, of the equation (x+49)2=24?

x=−49±26√

Solve the equation 40=2x2+2x40=2x2+2x by factoring.

x=−5x=−5 and x=4

Solve the equation x2+21x+110=0x2+21x+110=0 by factoring.

−10, −11

What are the solutions to 3(x+2)(x−9)=0?

−2 9

Solve the equation −2x2−2x+40=0−2x2−2x+40=0 by factoring.

−5, 4

Solve the quadratic equation −x2+8x−4=0−x2+8x−4=0 by completing the square.

4±23√3

What are the solutions of the equation x2=2536?

5/6 -5/6

What are the solutions of the equation x2+15=79?

8 -8

Solve the equation 25b2−64=025b2−64=0 by factoring.

8/5, −8/5

what is the factored form of the equation x2-22x+121?

(x-11)2