Question

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Explanation:

Subtract the first polynomial

Subtract \(3x^2 + 4x - 5\) from \(7x^2 + x + 9\):

$$ (7x^2 + x + 9) - (3x^2 + 4x - 5) $$

Using the Polynomial Subtraction knowledge point:

$$ 7x^2 + x + 9 - 3x^2 - 4x + 5 $$

Using the Combining Like Terms knowledge point:

$$ (7 - 3)x^2 + (1 - 4)x + (9 + 5) = 4x^2 - 3x + 14 $$

Subtract the second polynomial

Subtract \(4x^2 - 3x\) from the resulting polynomial \(4x^2 - 3x + 14\):

$$ (4x^2 - 3x + 14) - (4x^2 - 3x) $$

Using the Polynomial Subtraction knowledge point:

$$ 4x^2 - 3x + 14 - 4x^2 + 3x $$

Using the Combining Like Terms knowledge point:

$$ (4 - 4)x^2 + (-3 + 3)x + 14 = 14 $$

Answer:

Subtracting \(3x^2 + 4x - 5\) from \(7x^2 + x + 9\) results in a polynomial. After subtracting \(4x^2 - 3x\) from this polynomial, the constant term is <blank>14</blank>.