question 10

evaluate $3x^3 + 4x^2 - 5x + 1$ when $x = 2$

31
51
271
47

Question

question 10

evaluate $3x^3 + 4x^2 - 5x + 1$ when $x = 2$

31
51
271
47

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Polynomial Evaluation" ], "new_concepts": [], "current_concepts": [ "Polynomial Evaluation", "Exponent Rules" ] } ## Substitute the value of x into the polynomial $$ 3(2)^3 + 4(2)^2 - 5(2) + 1 $$ ## Evaluate the exponential terms $$ \begin{aligned} 2^3 &= 8 \ 2^2 &= 4 \end{aligned} $$ ## Perform multiplications and simplify $$ \begin{aligned} 3(8) + 4(4) - 5(2) + 1 &= 24 + 16 - 10 + 1 \ &= 40 - 10 + 1 \ &= 31 \end{aligned} $$

(A) 31

(B) 51

(C) 271

(D) 47

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Polynomial Evaluation" ] }

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QUESTION IMAGE

Question

Explanation:

Substitute the value of x into the polynomial

Evaluate the exponential terms

Perform multiplications and simplify

Answer: