Question 1 (10 points) Identify the polynomial that is equivalen to 4-6x-7x^2 a 7x^2+6x+4 b 4+7x^2-6x C -7x^2-6x+4 d -7x^2-4+6x

To identify the polynomial that is equivalent to $4-6x-7x^{2}$, we need to compare the given polynomial with the options provided.<br /><br />Let's analyze each option:<br /><br />a) $7x^{2}+6x+4$: This polynomial is not equivalent to $4-6x-7x^{2}$ because the coefficients of $x^{2}$, $x$, and the constant term are different.<br /><br />b) $4+7x^{2}-6x$: This polynomial is not equivalent to $4-6x-7x^{2}$ because the coefficients of $x^{2}$, $x$, and the constant term are different.<br /><br />c) $-7x^{2}-6x+4$: This polynomial is equivalent to $4-6x-7x^{2}$ because the coefficients of $x^{2}$, $x$, and the constant term are the same.<br /><br />d) $-7x^{2}-4+6x$: This polynomial is not equivalent to $4-6x-7x^{2}$ because the coefficients of $x^{2}$, $x$, and the constant term are different.<br /><br />Therefore, the polynomial that is equivalent to $4-6x-7x^{2}$ is option c) $-7x^{2}-6x+4$.