Question

РАЗЛОЖИТЬ НА МНОЖИТЕЛИ x^2+x-6!!!

Answer 1

(х+3)^2 .все просто же..

Answer 2

Factoring the quadratic equation x^2 + x - 6

To factor the quadratic equation x^2 + x - 6, we need to find two binomials whose product is equal to the given quadratic expression. The binomials will have the form (x + a)(x + b), where a and b are the unknown coefficients we need to determine.

To find the values of a and b, we can use the following steps:

Step 1: Multiply the coefficient of x^2 (which is 1) by the constant term (which is -6). In this case, 1 * -6 = -6.

Step 2: Find two numbers whose product is -6 and whose sum is the coefficient of x (which is 1). In this case, the numbers are 3 and -2, since 3 * -2 = -6 and 3 + (-2) = 1.

Step 3: Rewrite the quadratic expression using the two numbers found in step 2. The expression becomes x^2 + 3x - 2x - 6.

Step 4: Group the terms in pairs and factor out the greatest common factor from each pair. The expression becomes x(x + 3) - 2(x + 3).

Step 5: Notice that we now have a common binomial factor of (x + 3). Factor out this common factor. The expression becomes (x + 3)(x - 2).

Therefore, the factored form of the quadratic equation x^2 + x - 6 is (x + 3)(x - 2).