Polynomial Multiplication/Factoring TWA

Find the product.

( 2x - 5y ) ( 3x + 4y )

• 6x² - 7xy - 20y²

• 6x² + 7xy - 20y²

• 6x² - 7xy + 20y²

• 6x² - 20y²

Find the product using

the distributive property.

-8x ( 4x² - 9x + 12)

• -32x² - 72x + 96

• -32x³ - 72x² - 96x

• -32x³ + 72x² - 96

• -32x³ + 72x² - 96x

Find the product.

( 9x - y ) ²

• 81x² - 9xy + y²

• 81x² - y²

• 81x² - 18xy + y²

• 81x² + y²

Multiply.

(Note: binomial times trinomial)

( x - 4 ) ( x² + 9x - 7 )

• x³ + 13x² + 29x + 28

• x³ + 5x² - 43x + 28

• x³ - 4x² - 7x + 28

• x³ - 5x² + 43x + 28

Factor Completely:  x²y⁶  - 100a⁴b²

• (x +y)³  - (10a²b)
• (xy³ - 10ab²)(xy³ + 10ab²)
• (xy³ + 10a²b)(xy³  - 10a²b)
• (xy³ + 50a²b)(xy³ - 50a²b)

Expand into factored form:
x² + 36

• prime unless you use imaginary numbers
• (x + 6)(x + 6)
• (x + 6)(x - 6)
• (x + 6)²

Factor:
 x⁶y¹⁵ - a¹²b⁹

• prime
• (x³y¹² - a⁶b³)(x³y³ - a⁶b⁶)
• (x²y⁵ - a⁴b³)(x⁴y¹⁰ + x²y⁵a⁴b³ + a⁸b⁶)

Factor Completely:  mn³ - m⁵n

• (mn² - m⁴n)(mn² + m⁴n)
• mn(n² - m⁴)
• mn(n - m²)(n + m²)
• mn(mn² - m²n)mn² + m²n)

Factor:
6x² - 25x - 25

• (3x - 5)(2x + 5)
• (2x - 5)(3x + 5)
• (6x + 5)(x - 5)
• (6x - 5)(x + 5)

(9c⁴d⁷)²

• 18c⁶d⁹

• 9c⁸d¹⁴

• 81c⁸d¹⁴