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Lina20 [59]
2 years ago
10

HELP!!! With working out... what’s the values of a b and c (2x+1)(ax+b)=(6x^2-5x+c)

Mathematics
1 answer:
Lady bird [3.3K]2 years ago
4 0

Answer:

Step-by-step explanation:

(2x + 1)(ax + b) = 6x² - 5x + c

Expand the left side and put that half into standard form:

2ax² + 2bx + ax + b = 6x² - 5x + c

2ax² + (2b + a)x + b = 6x² - 5x + c

So now look at the x terms. We have "2a" x² on left and 6 x² on right, so:

2a = 6

a = 3

Then look at the x terms, those coefficients will then be equal:

2b + a = -5

2b + 3 = -5

2b = -8

b = -4

and finally, then non-x terms are equal:

b = c

-4 = c

so:

a = 3, b = -4, c = -4

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