Use the distributive property to multiply. (2x+5)(x^(2)+2x-4)

Apply Distributive Property: We will apply the distributive property, also known as the FOIL method (First, Outer, Inner, Last), to multiply the binomial (2x+5) by each term in the trinomial (x^2+2x-4). First, we multiply the first term of the binomial by each term of the trinomial: 2x * x^2 = 2x^3 2x * 2x = 4x^2 2x * (-4) = -8xMultiply Terms: Next, we multiply the second term of the binomial by each term of the trinomial: 5 * x^2 = 5x^2 5 * 2x = 10x 5 * (-4) = -20Combine Like Terms: Now, we combine like terms from the products we obtained in the previous steps: 2x^3 + (4x^2 + 5x^2) + (-8x + 10x) - 20 2x^3 + 9x^2 + 2x - 20

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Use the distributive property to multiply.

(2x+5)(x^(2)+2x-4)

Use the distributive property to multiply. $\newline$ $(2 x+5)\left(x^{2}+2 x-4\right)$

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Q. Use the distributive property to multiply.

\newline

(2 x+5)\left(x^{2}+2 x-4\right)

Apply Distributive Property: We will apply the distributive property, also known as the FOIL method (First, Outer, Inner, Last), to multiply the binomial $(2x+5)$ by each term in the trinomial $(x^2+2x-4)$ . First, we multiply the first term of the binomial by each term of the trinomial: $2x \times x^2 = 2x^3$ $2x \times 2x = 4x^2$ $2x \times (-4) = -8x$
Multiply Terms: Next, we multiply the second term of the binomial by each term of the trinomial: $\newline$ $5 \times x^2 = 5x^2$ $\newline$ $5 \times 2x = 10x$ $\newline$ $5 \times (-4) = -20$
Combine Like Terms: Now, we combine like terms from the products we obtained in the previous steps: $\newline$ $2x^3 + (4x^2 + 5x^2) + (-8x + 10x) - 20$ $\newline$ $2x^3 + 9x^2 + 2x - 20$