16Hit1600
Advanced MathMediumConstant in a grouped factorisation

Advanced Math practice question

For all x, 4x(x − 1) + 3(x − 1) = (x − 1)(4x + k). What is the value of k?

Answer: 3

Both terms share (x − 1): (x − 1)(4x + 3). So k = 3.

Common wrong answers

If you answered 12
12 multiplies 4 by 3.
If you answered -3
−3 would give 4x − 3, the wrong sign.
If you answered -1
−1 is the constant in the shared factor.

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