Factor the following quadratic by factoring it’s coefficients.p(x)=x2+4x=

To factor the quadratic equation p(x) = x^2 + 4x, you need to find two numbers that multiply to give the coefficient of the x^2 term (which is 1 in this case) and add up to give the coefficient of the x term (which is 4 in this case).

Step 1: Identify the coefficients of the quadratic equation. Here, the coefficient of x^2 is 1 (a = 1), the coefficient of x is 4 (b = 4), and there is no constant term (c = 0).

Step 2: Find two numbers that multiply to give ac (which is 10 = 0 in this case) and add up to give b (which is 4 in this case). The numbers that satisfy this condition are 0 and 4.

Step 3: Rewrite the middle term of the quadratic equation as the sum of the terms 4x and 0x. This gives us x^2 + 4x + 0x.

Step 4: Factor by grouping. The first two terms, x^2 and 4x, can be factored to give x(x + 4). The last term, 0x, is just 0.

So, the factored form of the quadratic equation p(x) = x^2 + 4x is p(x) = x(x + 4).