Multiply polynomial $- 2 x + 7$ by $2 x + 2 x - 4$ .

Answer

$(- 2 x + 7) \cdot (2 x + 2 x - 4) = - 8 x^{2} + 36 x - 28$

Explanation

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

P (x) Q (x) = - 2 x + 7 = 4 x - 4

In this example we are multiplying two binomials so FOIL method can be used.

(- 2 x + 7) \cdot (4 x - 4) = FIRST (- 2 x) \cdot 4 x + OUTER (- 2 x) \cdot (- 4) + INNER 7 \cdot 4 x + LAST 7 \cdot (- 4) = = - 8 x^{2} + 8 x + 28 x + (- 28) = = - 8 x^{2} + 8 x + 28 x + (- 28) = = - 8 x^{2} + 36 x - 28;

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Multiply polynomial −2x+7 by 2x+2x−4.

(−2x+7)⋅(2x+2x−4)=−8x2+36x−28

Multiply polynomial $- 2 x + 7$ by $2 x + 2 x - 4$ .

$(- 2 x + 7) \cdot (2 x + 2 x - 4) = - 8 x^{2} + 36 x - 28$