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Which of the following is the zero for the polynomial f(x) = 2x + 7?
- a)-2/7
- b)7/2
- c)2/7
- d)-7/2
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Which of the following is the zero for the polynomial f(x) = 2x + 7?a)...
Explanation:
To find the zero of a polynomial, we need to solve the equation f(x) = 0. In this case, the polynomial is f(x) = 2x - 7.
Step 1:
Set the polynomial equation equal to zero:
2x - 7 = 0
Step 2:
To solve for x, isolate the variable by adding 7 to both sides of the equation:
2x = 7
Step 3:
To isolate x, divide both sides of the equation by 2:
x = 7/2
The zero of the polynomial f(x) = 2x - 7 is x = 7/2.
Explanation of options:
a) -2/7: This is not the zero of the polynomial because substituting -2/7 into the polynomial does not result in zero.
b) 7/2: This is the correct zero of the polynomial, as shown in the explanation above.
c) 2/7: This is not the zero of the polynomial because substituting 2/7 into the polynomial does not result in zero.
d) -7/2: This is not the zero of the polynomial because substituting -7/2 into the polynomial does not result in zero.
Therefore, the correct answer is option 'D', which is x = -7/2.
To find the zero of a polynomial, we need to solve the equation f(x) = 0. In this case, the polynomial is f(x) = 2x - 7.
Step 1:
Set the polynomial equation equal to zero:
2x - 7 = 0
Step 2:
To solve for x, isolate the variable by adding 7 to both sides of the equation:
2x = 7
Step 3:
To isolate x, divide both sides of the equation by 2:
x = 7/2
The zero of the polynomial f(x) = 2x - 7 is x = 7/2.
Explanation of options:
a) -2/7: This is not the zero of the polynomial because substituting -2/7 into the polynomial does not result in zero.
b) 7/2: This is the correct zero of the polynomial, as shown in the explanation above.
c) 2/7: This is not the zero of the polynomial because substituting 2/7 into the polynomial does not result in zero.
d) -7/2: This is not the zero of the polynomial because substituting -7/2 into the polynomial does not result in zero.
Therefore, the correct answer is option 'D', which is x = -7/2.
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Community Answer
Which of the following is the zero for the polynomial f(x) = 2x + 7?a)...
If f(x) = 2x + 7 and 2x + 7 = 0, then 2x = -7. Furthermore, the outcome is x = -7/2. Therefore, it is derived that the zero for the polynomial f(x) = 2x + 7 is -7/2, in accordance with the value of x which is -7/2.
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Which of the following is the zero for the polynomial f(x) = 2x + 7?a)-2/7b)7/2c)2/7d)-7/2Correct answer is option 'D'. Can you explain this answer?
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