SAT Math Question

Anonymous
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

SAT Math Question
screen_shot_2018_10_18_at_12.11.59_pm.png

Tutor Answer

Borys_S
School: New York University

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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Review

Anonymous
Good stuff. Would use again.

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