Step-by-step explanation:
Hi there!
Zero of the polynomial is the value of "X" that gives final answer as zero.
<em>So, as the polynomial in the second gives zero every time when we keep the zero which are given in the question. It is the answer.</em>
Check:
• x⁴ - x³ - 16x² + 16x
Keep the value -4 as the value of X in polynomial.
= (-4)⁴-(-4)³ -16*(-4)²+16*(-4)
= 256+64-256-64
= 0
Keep the value 0 as the value of X in polynomial.
= (0)⁴-(0)³ -16*(0)²+16*(0)
= 0-0-0+0
= 0
Keep the value 1 as the value of X in polynomial.
= (1)⁴-(1)³ -16*(1)²+16*(1)
= 1-1-16+16
= 0
Keep the value 4 as the value of X in polynomial.
= (4)⁴-(4)³ -16*(4)²+16*(4)
= 256 - 64-256+64
= 0
Therefore, the correct answer is option B.
<u>Hope it helps!</u>
