Quiz about Product of Two Binomials

Question 1

Multiply (x-2)(3x+4) using the distributive property.

Select the answer choice showing the correct distribution.

Accepted Answer

(x-2)(3x)+(x-2)(4)

Answer

(x)(3x)+4(x)+3x+4

Answer

(x)(3x+4)+(x-2)

Answer

(x-2)(3x)+(3x)(4)

Question 2

Kate multiplied two binomials using the distributive property. She made a mistake in one of the steps. Where did she first make a mistake?

Accepted Answer

Step 3

Answer

Step 1

Answer

Step 2

Answer

Step 4

Question 3

Multiply (x-2)(4x+2) using the FOIL method. Select the answer choice showing the FOIL method.

Accepted Answer

(x)(4x)+2(x)+(-3)(4x)+(-3)(2)

Answer

(x)(4x+2)+(x-3)

Answer

(x-3)(4x)+(4x)(2)

Answer

(x-3)(4x)+(x-3)(2)

Question 4

What is the product of these binomials?

(x-8)(x+3)=

Accepted Answer

$$x^2-5x-24$$

Answer

$$x^2-5x-5$$

Answer

$$x^2-11x-5$$

Answer

$$x^2-11x-24$$

Question 5

What is the product of the polynomials?

(9x+9)(x+2)

Accepted Answer

$$9x^2+27x+18$$

Answer

$$9x^2+11x+9$$

Answer

$$9x^2+27x+162$$

Answer

$$9x^2+11x+18$$

Question 6

Use the FOIL method to find the product.

$$\left(x+3\right)\left(x^2-6x\right)$$

Accepted Answer

$$x^3-3x^2-18x$$

Answer

$$x^3-9x^2-18$$

Answer

$$x^3-3x^2-18$$

Answer

$$x^3-9x^2-18x$$

Question 7

What is the product of (4x-7)(4x+7)?

Accepted Answer

$$16x^2-49$$

Answer

$$8x^2-49$$

Answer

$$8x^2+56x-49$$

Answer

$$16x^2+56x-49$$

Question 8

Select the expression that is equivalent to

$$\left(x+5\right)^2$$

Accepted Answer

$$x^2+10x+25$$

Answer

$$x^2+5x+25$$

Answer

$$x^2+10x^2+25$$

Answer

$$2x^2+10x+25$$

Question 9

Select the expression that is equivalent to

$$\left(x-7\right)^2$$

Accepted Answer

$$x^2-14x+49$$

Answer

$$x^2-7x+14$$

Answer

$$x^2-7x+49$$

Answer

$$x^2-14x+14$$

Question 10

What does FOIL stand for?

Accepted Answer

First Outer Inner Last

Answer

Fish Oil In Lettuce

Answer

First Over Intersect Lower

Answer

Forward Outer Inner Left

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