Operations on Polynomials

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

• -21x⁴ + 3x³ -12x²

• 7x² - x + 4 (-3x²)

• 21x⁴ + 3x³ + 12x²

• -12x² + 3x³ -21x⁴

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

• 21r²-43r+20

• 21r+43r²+9

• 7r+12r

• r+2r

Simplify the expression

• x²/2

• 2/x¹⁴

• 2x¹⁴

• 2/x²

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

• 15a + b

• 9a + b

• 9a - 7b

• 15a + 7b

(m + 2)(m - 4)

2b - (-5b)

• -3b

• 3b

• 7b

• -7b

(-5k) - (+8k)

• -13k

• 3k

• -3k

• 13k

Multiply

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7y(5y² + 2y + 3)

• 35y³ + 14y² + 21y

• 12y³ + 14y² + 21y

• 35y³ + 14y² + 21

• 12y³ + 14y² + 10y

State the leading coefficient of the polynomial:

f(x) = 6x⁵ + 9x⁴ + 2x³ + 3x² - 4x -6

• 9

• -4

• 6

• 3