(ax+5)(x+v)=ax^(2)+25 x+25 What is the value of a in the given equation? Choose 1 answer: (A) -5 (B) -4 (C) 4 (D) 5

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(ax+5)(x+v)=ax^(2)+25 x+25 What is the value of  a in the given equation? Choose 1 answer: (A) -5 (B) -4 (C) 4 (D) 5

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Expand Left Side: Expand the left side of the equation (ax+5)(x+v) using the distributive property (FOIL method). (ax+5)(x+v) = ax*x + ax*v + 5*x + 5*vCompare with Right Side: Compare the expanded form with the right side of the equation ax^2 + 25x + 25. We have ax*x = ax^2, which is already in the correct form. Now, we need to find the terms that combine to give us 25x on the right side.Find Terms for 25x: The terms ax*v and 5*x must add up to 25x. So, ax*v + 5*x = 25x.Deduce Value of v: Since there is no x term on the left side that would correspond to 25x on the right side, we can deduce that v must be 5 to satisfy the equation. This is because 5*x is already part of the 25x term on the right side, so ax*v must be the remaining 20x.Simplify Equation: Now we have ax*5 + 5*x = 20x + 5x = 25x. This simplifies to 5a*x + 5*x = 25x.Divide and Solve for a: Divide the entire equation by x to simplify and solve for a. 5a + 5 = 25.Subtract to Isolate a: Subtract 5 from both sides to isolate the term with a. 5a = 25 - 5.Calculate Value of a: Calculate the value of a. 5a = 20. a = 20 / 5. a = 4.Final Answer: The value of a is 4, which corresponds to option (C).

$(a x+5)(x+v)=a x^{2}+25 x+25$ $\newline$ What is the value of $a$ in the given equation? $\newline$ Choose $1$ answer: $\newline$ (A) $-5$ $\newline$ (B) $-4$ $\newline$ (C) $4$ $\newline$ (D) $5$

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(ax+5)(x+v)=ax2+25x+25 (a x+5)(x+v)=a x^{2}+25 x+25 (ax+5)(x+v)=ax2+25x+25\newlineWhat is the value of a a a in the given equation?\newlineChoose 111 answer:\newline(A) −5-5−5\newline(B) −4-4−4\newline(C) 444\newline(D) 555

$(a x+5)(x+v)=a x^{2}+25 x+25$ $\newline$ What is the value of $a$ in the given equation? $\newline$ Choose $1$ answer: $\newline$ (A) $-5$ $\newline$ (B) $-4$ $\newline$ (C) $4$ $\newline$ (D) $5$