If 4(z + 7) (2z - 1) = Az2 + Bz + C, the

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If 4(z + 7) (2z - 1) = Az² + Bz + C, then the value of A + B + C is:

Options:

Correct Answer:

Explanation:

4(z + 7)(2z – 1) = Az² + Bz + C

Simplifying the left-hand side of the given equation,

4(z + 7)(2z – 1) = 8z²+ 52z - 28

On comparing this expression with the right-hand side of the given equation,

A = 8, B = 52 and C = -28

A + B + C = 8 + 52 - 28 = 32