# SAT Math Question

*label*English

*timer*Asked: Oct 18th, 2018

*account_balance_wallet*$5

**Question description**

Please answer the question in the attached document

This is a math question for the SATs

## Tutor Answer

The solution is ready, please ask if something is unclear.docx and pdf files are identical

(𝑎𝑥 + 2)(𝑏𝑥 + 7) = 15𝑥 2 + 𝑐𝑥 + 14 for all 𝑥, and 𝑎 + 𝑏 = 8. Find 𝑐.

Open the parentheses:

𝑎𝑏𝑥 2 + 2𝑏𝑥 + 7𝑎𝑥 + 14 = 15𝑥 2 + 𝑐𝑥 + 14,

so

(𝑎𝑏 − 15)𝑥 2 + (2𝑏 + 7𝑎 − 𝑐)𝑥 = 0

for all values of 𝑥.

Of course, this means that the coefficients near each 𝑥 𝑛 are zero.

The coefficient at 𝑥 0 (the constant ter...

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