Multiply the two binomials together: (x+1)(x+3).

• 2x+4

Answer explanation

To multiply the binomials (x+1)(x+3), use the distributive property: x*x + x*3 + 1*x + 1*3 = x^2 + 3x + x + 3 = x^2 + 4x + 3. Thus, the correct answer is x^2 + 4x + 3.

Tags

CCSS.HSA.APR.A.1

Multiply the two binomials together: (a+8)(a-3).

Mathematical Equivalence

OFF

Answer explanation

https://youtu.be/fGThIRpWEE4?si=QwuWgrmH1DhsSxnr

Tags

CCSS.HSA.APR.A.1

Multiply the two binomials together: (x-7)(x-2).

Mathematical Equivalence

OFF

Answer explanation

https://youtu.be/fGThIRpWEE4?si=QwuWgrmH1DhsSxnr

Tags

CCSS.HSA.APR.A.1

Multiply the two binomials together: (5s+6)(s-2).

Mathematical Equivalence

OFF

Answer explanation

https://youtu.be/fGThIRpWEE4?si=QwuWgrmH1DhsSxnr

Tags

CCSS.HSA.APR.A.1

Multiply the two binomials together: (3k-1)(4k+9).

Mathematical Equivalence

OFF

Answer explanation

https://youtu.be/fGThIRpWEE4?si=QwuWgrmH1DhsSxnr

Tags

CCSS.HSA.APR.A.1

Write a polynomial that represents the area of the shaded region in the diagram.

• 3x-4

• 6x-8

Answer explanation

The polynomial representing the area of the shaded region is derived from the dimensions given in the diagram. The correct choice, \(2x^2+x-45\), accounts for both the area and any subtracted regions, making it the accurate representation.

Tags

CCSS.HSA.APR.A.1

Write a polynomial that represents the area of the shaded region in the diagram. INSTEAD OF P USE X in your expression.

Mathematical Equivalence

OFF

Answer explanation

https://youtu.be/fGThIRpWEE4?si=QwuWgrmH1DhsSxnr

Tags

CCSS.HSA.APR.A.1

Answer explanation

To find the product, use the distributive property: (d+6)(2d^2-d+7) = d(2d^2-d+7) + 6(2d^2-d+7). This simplifies to 2d^3 + 11d^2 + d + 42, matching the correct choice.

Tags

CCSS.HSA.APR.A.1

You design a frame to surround a rectangular photo. The width of the frame is the same on every side, as shown. Write a polynomial that represents the combined area of the photo and the frame.

Mathematical Equivalence

OFF

3x(2x² + 9x + 6)

• 6x³ + 27x² + 18x

• 6x³ + 18x² + 9

• -6x² + 27x + 9x

• 6x² + 27x² + 18

Answer explanation

To simplify 3x(2x² + 9x + 6), distribute 3x: 3x * 2x² = 6x³, 3x * 9x = 27x², and 3x * 6 = 18x. Thus, the result is 6x³ + 27x² + 18x, which matches the correct answer.

Tags

CCSS.HSA.APR.A.1