Question

(2k+3)(4−5k)=−10k2−7k+12

Li Min says that -10k^2-7k+12−10k2−7k+12 is a factor of 4-5k4−5k.

Tessa says that -10k^2-7k+12−10k2−7k+12 is divisible by 4-5k4−5k.

Who is correct?

A. both
B. Tessa
C. Li min
D. Neither

Answer 1

I think is Tessa because of the divisible

Answer 2

B. Tessa

Explanation:

(2k + 2)(4 - 5k) = -10k² - 7k +12

Tessa

(-10k² - 7k +12)/(4 - 5k) = [(2k + 2)(4 - 5k)]/(4 - 5k)

= 2k + 2

Tessa is correct. -10k² - 7k + 12 is divisible by 4 - 5k because the division is exact with no remainder.

Li Min

Li Min has it wrong. 4 - 5k is a factor of -10k² - 7k + 12, not the other way around.