Questions: Determine the terms and degree of the polynomial. -7x⁴ + 2x³ - 5x² + x + 12 (A) Terms: 7x⁴, 2x³, 5x², x, -12; degree: 10 (B) Terms: -7x⁴, 2x³, -5x², x, 12; degree: 10 (C) Terms: 7x⁴, 2x³, 5x², x, -12; degree: 4 (D) Terms: -7x⁴, 2x³, -5x², x, 12; degree: 4

Determine the terms and degree of the polynomial.

-7x⁴ + 2x³ - 5x² + x + 12

(A) Terms: 7x⁴, 2x³, 5x², x, -12; degree: 10  
(B) Terms: -7x⁴, 2x³, -5x², x, 12; degree: 10  
(C) Terms: 7x⁴, 2x³, 5x², x, -12; degree: 4  
(D) Terms: -7x⁴, 2x³, -5x², x, 12; degree: 4
Transcript text: Determine the terms and degree of the polynomial. \[ -7 x^{4}+2 x^{3}-5 x^{2}+x+12 \] (A) Terms: $7 x^{4}, 2 x^{3}, 5 x^{2}, x,-12 ;$ degree: 10 (B) Terms: $-7 x^{4}, 2 x^{3},-5 x^{2}, x, 12$; degree: 10 (C) Terms: $7 x^{4}, 2 x^{3}, 5 x^{2}, x,-12 ;$ degree: 4 (D) Terms: $-7 x^{4}, 2 x^{3},-5 x^{2}, x, 12 ;$ degree: 4
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Solution

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△ Identify the terms and degree of the polynomial \(-7x^4 + 2x^3 - 5x^2 + x + 12\). ○ Identify the terms ☼ The terms of the polynomial are \(-7x^4\), \(2x^3\), \(-5x^2\), \(x\), and \(12\). ○ Determine the degree ☼ The degree of the polynomial is 4, as the highest exponent is 4 from the term \(-7x^4\). ✧ The terms are \(-7x^4\), \(2x^3\), \(-5x^2\), \(x\), \(12\), and the degree is 4. The correct answer is (D). ☺ The terms of the polynomial $-7 x^{4}+2 x^{3}-5 x^{2}+x+12$ are $-7 x^{4}$, $2 x^{3}$, $-5 x^{2}$, $x$, and $12$, and its degree is 4. Therefore, the answer is (D).

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