# Tutor profile: Esli B.

## Questions

### Subject: Spanish

translate these words and use them them in a sentence. milk house tree grass

leche casa arbol zacate Esta mañana tome leche en una taza. El color de mi casa es verde. Enfrente de mi casa esta un arbol muy pequeño. El zacate de mi jardín se esta secando.

### Subject: Algebra

Factor 4x 2 + 12x + 5 .

First, factor out all constants which evenly divide all three terms. If a is negative, factor out -1. This will leave an expression of the form d (ax 2 + bx + c) , where a , b , c , and d are integers, and a > 0 . We can now turn to factoring the inside expression. Here is how to factor an expression ax 2 + bx + c , where a > 0 : Write out all the pairs of numbers that, when multiplied, produce a . Write out all the pairs of numbers that, when multiplied, produce c . Pick one of the a pairs -- (a 1, a 2) -- and one of the c pairs -- (c 1, c 2) . If c > 0 : Compute a 1 c 1 + a 2 c 2 . If | a 1 c 1 + a 2 c 2| = b , then the factored form of the quadratic is (a 1 x + c 2)(a 2 x + c 1) if b > 0 . (a 1 x - c 2)(a 2 x - c 1) if b < 0 . If a 1 c 1 + a 2 c 2≠b , compute a 1 c 2 + a 2 c 1 . If a 1 c 2 + a 2 c 1 = b , then the factored form of the quadratic is (a 1 x + c 1)(a 2 x + c 2) or (a 1 x + c 1)(a 2 x + c 2) . If a 1 c 2 + a 2 c 1≠b , pick another set of pairs. If c < 0 : Compute a 1 c 1 -a 2 c 2 . If | a 1 c 1 - a 2 c 2| = b , then the factored form of the quadratic is: (a 1 x - c 2)(a 2 x + c 1) where a 1 c 1 > a 2 c 2 if b > 0 and a 1 c 1 < a 2 c 2 if b < 0 .

### Subject: Algebra

5(-3x - 2) - (x - 3) = -4(4x + 5) + 13

Multiply factors. -15x - 10 - x + 3 = -16x - 20 +13 Group like terms -16x - 7 = -16x - 7 Add 16x + 7 to both sides and write the equation as follows 0 = 0 The above statement is true for all values of x and therefore all real numbers are solutions to the given equation

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