Multiplying a Polynomial by a Monomial - two binomials

Multiplying Polynomials

Using the Distributive Property.

Review - Adding and Subtracting Polynomials.

Multiple Choice

(x³-x²+4) - (3x³-2x²+3)

• -2x³-3x²+7

• -2x³+x²+1

• 2x³-3x³-1

• 4x³-3x²+7

Multiple Choice

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

• 2x² + 3x +1

• -2x² - 11x -4

• 2x² + 5x -7

• -2x² + 11x -4

Multiple Choice

Find the perimeter.

• 10x - 4

• 20x - 8

• 25x²-20

• 30x² + 4

Multiplying a Polynomial by a Monomial

Use the Distributive Property when Multiplying a Polynomial by a Monomial.

Multiple Choice

Multiply

Multiple Choice

Simplify:
3a(5a² + 8a + 2)

• 15a³ + 24a² + 6a

• 10a³ + 24a + 6

• 8a³ + 11a² + 6a

• 15a³ + 24a + 6

Multiple Choice

4m(3m⁷ + 2m⁵)

• 7m⁷ + 6m⁶

• 12m⁸ + 8m⁶

Multiple Choice

Multiply the monomial by the polynomial:
$$4y^2\left(2y^3-5y-3\right)=$$  

• $$8y^5-20y^3-12y^2$$  

• $$8y^5+20y^3+12y^2$$  

• $$6y^5-1y^3+1y^2$$  

• $$6y^6-20y^3-12y^2$$  

Multiple Choice

Multiply

Multiple Choice

Find the area of the given rectangle.

• $$40x^5-25x^4+15x^3$$

• $$40x^5-25x^4+3x^3$$

• $$13x^5-10x^4+8x^3$$

• $$40x^2-25x^{ }+15$$

​Multiplying two Binomials

When Multiplying two Binomials - we can use the Distributive Property Twice.

We can also use the FOIL or the BOX method (Which we will learn later

Multiple Choice

(x + 5)(x + 4)

• x^2 + x + 20

• x^2 + 20x + 9

• x^2 + 9x + 20

• x^2 - 9x + 54

Multiple Choice

(x +2)(x + 3)

• x^2 + 5x + 6

• x^2 + x + 6

• x^2 + 5x + 5

• x^2 + 6x + 6

Multiple Choice

Mult (2x + 3)(3x + 4)

• 6x² + 17x + 7

• 6x² + 17x + 12

• 6x² + 8x + 12

• 6x² + 9x + 12

Multiple Choice

(2x + 9)(3x - 4)

• 3x² + 19x - 36

• 4x² + 19x - 36

• 5x² + 19x - 36

• 6x² + 19x - 36