Let f (x) = x2+5x-36 . Enter the x-intercepts of the quadratic function in the boxes.

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:

x^2-5*x - (36) = 0

Step by step solution: Step 1: Trying to factor by splitting the middle term

1.1 Factoring x2-5x-36

The first term is, x2 its coefficient is 1.

The middle term is, - 5x its coefficient is - 5.

The last term, "the constant", is - 36

Step-1: Multiply the coefficient of the first term by the constant 1 • - 36 = - 36

Step-2: Find two factors of - 36 whose sum equals the coefficient of the middle term, which is - 5.

-36 + 1 = - 35 - 18 + 2 = - 16 - 12 + 3 = - 9 - 9 + 4 = - 5 That's it

Step-3: Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, - 9 and 4

x2 - 9x + 4x - 36

Step-4: Add up the first 2 terms, pulling out like factors:

x • (x-9)

Add up the last 2 terms, pulling out common factors:

4 • (x-9)

Step-5: Add up the four terms of step 4:

(x+4) • (x-9)

Which is the desired factorization

Equation at the end of step 1 : (x + 4) • (x - 9) = 0 Step 2 : Theory - Roots of a product:

2.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

2.2 Solve : x+4 = 0

Subtract 4 from both sides of the equation:

x = - 4

Solving a Single Variable Equation:

2.3 Solve : x-9 = 0

Add 9 to both sides of the equation:

x = 9

the answer is x = 9 have a good day