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(−3x2 + 5x− 2) − 2(x2 − 2x− 1)
If the expression above is rewritten in the form αx2 + bx + c , where α, b, and c are constants, what is the value of b ?
If the expression above is rewritten in the form αx2 + bx + c , where α, b, and c are constants, what is the value of b ?
Correct answer is '9'. Can you explain this answer?
Most Upvoted Answer
(−3x2 + 5x− 2) − 2(x2 − 2x− 1)If the exp...
The correct answer is 9. To rewrite the difference (−3x2 + 5x − 2) − 2(x2 − 2x − 1) in the form ax2 + bx + c, the expression can be simplified by using the distributive property and combining like terms as follows:
(−3x2 + 5x − 2) − (2x2 − 4x − 2)
(−3x2 − 2x2) + (5x − (−4x)) + (−2 −(−2))
−5x2 + 9x + 0
The coefficient of x is the value of b, which is 9.
Alternatively, since b is the coefficient of x in the difference (−3x2 + 5x − 2) − 2(x2 − 2x − 1), one need only compute the x-term in the difference. The x-term is 5x − 2(−2x) = 5x + 4x = 9x, so the value of b is 9.
(−3x2 + 5x − 2) − (2x2 − 4x − 2)
(−3x2 − 2x2) + (5x − (−4x)) + (−2 −(−2))
−5x2 + 9x + 0
The coefficient of x is the value of b, which is 9.
Alternatively, since b is the coefficient of x in the difference (−3x2 + 5x − 2) − 2(x2 − 2x − 1), one need only compute the x-term in the difference. The x-term is 5x − 2(−2x) = 5x + 4x = 9x, so the value of b is 9.
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Community Answer
(−3x2 + 5x− 2) − 2(x2 − 2x− 1)If the exp...
Given Expression
-3x^2 + 5x - 2 - 2(x^2 - 2x - 1)
Step 1: Simplify the expression
-3x^2 + 5x - 2 - 2x^2 + 4x + 2
= -3x^2 - 2x^2 + 5x + 4x - 2 + 2
= -5x^2 + 9x
Step 2: Rewrite the expression in the form αx^2 + bx + c
In the given expression, α = -5, b = 9, and c = 0
Therefore, the value of b is 9.
In this question, we first simplified the given expression by combining like terms. After simplifying, we rewrote the expression in the form αx^2 + bx + c, where we identified that the value of b is 9. It is essential to follow the steps of simplifying and rewriting the expression to determine the correct value of b.
-3x^2 + 5x - 2 - 2(x^2 - 2x - 1)
Step 1: Simplify the expression
-3x^2 + 5x - 2 - 2x^2 + 4x + 2
= -3x^2 - 2x^2 + 5x + 4x - 2 + 2
= -5x^2 + 9x
Step 2: Rewrite the expression in the form αx^2 + bx + c
In the given expression, α = -5, b = 9, and c = 0
Therefore, the value of b is 9.
In this question, we first simplified the given expression by combining like terms. After simplifying, we rewrote the expression in the form αx^2 + bx + c, where we identified that the value of b is 9. It is essential to follow the steps of simplifying and rewriting the expression to determine the correct value of b.
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(−3x2 + 5x− 2) − 2(x2 − 2x− 1)If the expression above is rewritten in the form αx2 + bx + c , where α, b, and c are constants, what is the value of b ?Correct answer is '9'. Can you explain this answer?
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