factor the expression
4x^2+25x+36
since 25=16+9, I'd try
(4x+9)(x+4)
yes!
I have (x+4)(4x+9) but didn't know if there was away i should show the steps
To factor the expression 4x^2 + 25x + 36, we can use the factoring method.
Step 1: Multiply the coefficient of the term x^2 (which is 4) with the constant term (which is 36). In this case, 4 * 36 = 144.
Step 2: Find two numbers that multiply to give 144 and add up to the coefficient of the term x (which is 25). In this case, the numbers are 9 and 16 since 9 * 16 = 144 and 9 + 16 = 25.
Step 3: Rewrite the middle term (25x) using the numbers obtained in Step 2. Replace the middle term with these numbers.
4x^2 + 9x + 16x + 36
Step 4: Group the terms by pairs and factor them.
(4x^2 + 9x) + (16x + 36)
Step 5: Factor out the greatest common factor (GCF) of each group.
x(4x + 9) + 4(4x + 9)
Step 6: Observe that we now have a common binomial factor (4x + 9).
(4x + 9)(x + 4)
So, the factored form of the expression 4x^2 + 25x + 36 is (4x + 9)(x + 4).