Can someone show me how step by step how to solve this problem...
Rewrite the middle term as the sum of two terms and then factor by grouping.
x^2-2x-63
step 1. Find two factors which when multiplied will give you -63 and when added will give you -2
how about -9 and +7??
step 2:
rewrite -2x as -9x + 7x
then x^2 - 9x + 7x - 63
find the common factors of the first two terms and the last two terms
x(x-9) + 7(x-9), notice you now have another common factor, the x-9
finally (x-9)[x+7]
To solve the given problem, follow these step-by-step instructions:
Step 1: Find two numbers that multiply to give -63, and add up to give -2. In this case, -9 and +7 are the correct numbers.
Step 2: Now, rewrite the middle term, -2x, as the sum of -9x and 7x. This will give you:
x^2 - 9x + 7x - 63.
Step 3: Group the terms into two pairs, combining the common factors:
x(x-9) + 7(x-9).
Step 4: Notice that you now have another common factor, which is (x - 9).
Step 5: Factor out the common factor from both pairs, resulting in:
(x-9)(x+7).
The final factored form is (x-9)(x+7).