Operation on Polynomial Functions

Simplify the expression.
x³(2x²+3x)

• 2x⁵+3x⁴

• 2x⁶+3x³

• 5x⁹

• 5x

Simplify the expression.
-3x²( 7x² - x + 4)

• -21x⁴ + 3x³ -12x²

• 7x² - x + 4 (-3x²)

• 21x⁴ + 3x³ + 12x²

• -12x² + 3x³ -21x⁴

Find the product:

(2x + 7)²

• 4x² + 49

• 4x² + 28x + 49

• 4x² + 14x + 49

Simplify:
(3x - 5) ( 4x² - 2x - 3)

• 12x³ - 26x² - 25x + 15

• 12x³ - 20x² - 5x + 15

• 12x³ - 20x² - 6x + 15

• 12x³ - 26x² + x + 15

Find the product:
(3r-4)(7r-5)

• 21r²-43r+20

• 21r+43r²+9

• 7r+12r

• r+2r

Classify by number of terms:
3x² – 8x + 1

• Monomial

• Binomial

• Trinomial

• 4-Term Polynomial

(12a - 3b) - (3a + 4b)

• 15a + b

• 9a + b

• 9a - 7b

• 15a + 7b

2b - (-5b)

• -3b

• 3b

• 7b

• -7b

(-5k) - (+8k)

• -13k

• 3k

• -3k

• 13k

Given
f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f + g)(x).

• 11x² - 1

• 5x⁴ + 6x² - 1

• 5x² + 6x - 1

• 5x² + 8x - 1