Add $3 x - 4$ and $5 + 3 x - 4 x^{2}$ .

Answer

$(3 x - 4) + (5 + 3 x - 4 x^{2}) = - 4 x^{2} + 6 x + 1$

Explanation

Step 1: First we have to write polynomials in descending order.

P (x) Q (x) = 3 x - 4 = - 4 x^{2} + 3 x + 5

Step 2: Write second polynomial below the first one. Making sure like terms are lined up.

+ - 4 x^{2} 3 x 3 x - 4 5

Step 3: Combine like terms (add each column):

+ - 4 x^{2} - 4 x^{2} 3 x 3 x 6 x - 4 51

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Add 3x−4 and 5+3x−4x2.

(3x−4)+(5+3x−4x2)=−4x2+6x+1

Add $3 x - 4$ and $5 + 3 x - 4 x^{2}$ .

$(3 x - 4) + (5 + 3 x - 4 x^{2}) = - 4 x^{2} + 6 x + 1$