Question

C) x² + 7x + 12 let's solve into factors
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Answer 1

x² + 7x + 12 = (x + 3)(x + 4)

Explanation:

To factor the quadratic expression x² + 7x + 12, we need to find two binomials whose product gives us the original expression. The general form for factoring a quadratic expression is (x + m)(x + n), where m and n are constants.

To factor x² + 7x + 12, we need to find two numbers whose sum is 7 (the coefficient of the middle term) and whose product is 12 (the constant term).

The numbers that satisfy these conditions are 3 and 4 (3 + 4 = 7 and 3 * 4 = 12).

So, we can factor the expression as follows:

x² + 7x + 12 = (x + 3)(x + 4)

Answer 2

Hello!

Answer:

`\Large \boxed{\sf (x+3)(x+4)}`

Explanation:

Write this expression in factored form:

`\sf x^2 + 7x + 12\\\\= (x^2 + 4x) + (3x + 12)\\\\= x(x + 4) + 3(x+4)\\\\\boxed{ \sf = (x+3)(x+4)}`