Answer:
B
Step-by-step explanation:
For quadratic expression in this form, the first step is to multiply the number in front of [tex]x^2[/tex] with the last term, the constant (with the sign in front as well). This is the "multiplied number".
Step 2 is to come up with 2 numbers which when multiplied is equal to the "multiplied number" in step 1 above and also add to the number in front of [tex]x[/tex].
For this problem, we would need 2 numbers that
- Add up to 27, and
- When multiplied, comes to -90 (18 * -5 = -90)
They already found the 2 numbers as expressed in the form shown [tex]18x^2+32x-5x-5[/tex]. The 2 numbers are +32 and -5.
Do they add up to 27, as required?
Yes, 32-5=27
Do they come to -90 when multiplied?
No, 32 * -5 = -160
Hence, they add up, BUT NOT multiplied.
So the answer choice B is right.
