Solving for X via Factoring Quadratic Functions

​Solving for x via Factoring Quadratic Functions

Drag and Drop

Factor the quadratic function f(x) = x² - 3x - 10.



(x -​

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)(x + ​

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)

Drag these tiles and drop them in the correct blank above

5

2

-5

-2

Hotspot

Identify the solutions of the quadratic function.

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Factor the quadratic function f(x) = 6x² + 17x + 5



(​

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x + ​

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)(​

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x + ​

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)

Drag these tiles and drop them in the correct blank above

3

1

2

5

-3

-1

-2

-5

​Step 1: Add 9 (opposite of subtracting 9)

​Step 2: Divide by 4 (opposite of multiplying by 4

​Step 3: Take the square root (opposite of squaring

Math Response

What is the solution to the quadratic function?

9x² - 1

Type answer here

Correct Answer: \frac{1}{3}

Deg^°

Rad

Multiple Choice

Factor the quadratic function.

x² - 9x

• (x)(x - 9)

• (x)(x +9)

• (x)(9x)

• 9

Multiple Select

Determine the solutions to the quadratic function.

x² - 9x

Select ALL that apply.

• x = 0

• x = 9

• x = -9

• No solution.

Multiple Choice

Factor the quadratic function.

$$m^2+6m-7$$

• $$\left(m-1\right)\left(m+7\right)$$

• $$\left(m+1\right)\left(m-7\right)$$

• $$\left(m-1\right)\left(m-7\right)$$

• $$\left(m+7\right)\left(m+7\right)$$

Multiple Select

Determine the x-intercepts of the quadratic function.

$$m^2+6m-7$$

• $$m=1$$

• $$m=-7$$

• $$m=-1$$

• $$m=7$$

• No solution

Multiple Choice

Factor the quadratic function.

$$6x^2+9x-15$$

• $$\left(2x+5\right)\left(x-1\right)$$

• $$\left(2x+5\right)\left(x+1\right)$$

• $$\left(2x-1\right)\left(x-1\right)$$

• $$\left(2x-1\right)\left(x+1\right)$$

Multiple Select

What are the roots to the quadratic function?

$$6x^2+9x-15$$

Select ALL that apply.

• $$x=-2.5$$

• $$x=-\frac{5}{2}$$

• $$x=1$$

• $$x=-1$$

• No solution.

Multiple Choice

Factor the trinomial.

$$2t^3-14t^2+24t$$

• $$2t\left(t-3\right)\left(x-4\right)$$

• $$2t\left(x+3\right)\left(x+4\right)$$

• $$2t\left(x+3\right)\left(x-4\right)$$

• $$21\left(x-3\right)\left(x+4\right)$$

Multiple Select

What are the zeros to the function?

$$2t^3-14t^2+24t$$

Select all that apply.

• $$t=0$$

• $$x=3$$

• $$x=4$$

• $$x=-3$$

• $$x=-4$$

Multiple Choice

Review the STAAR question. Select your answer.

• A

• B

• C

• D

Drag and Drop

Review the STAAR question. Fill in the blank with the value of k.



(d + 2)(d + ​

Placeholder

)

Drag these tiles and drop them in the correct blank above

-3

3

1

6

-1

-6

Math Response

Review the STAAR question. Type your answer.

Type answer here

Correct Answer: 3

Deg^°

Rad

Math Response

Review the STAAR question. Type your answer.

Type answer here

Correct Answer: 2

Deg^°

Rad