What is the leading coefficient of y=(2x+1)(-3x+4) ?

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What is the leading coefficient of y=(2x+1)(-3x+4) ?

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Answer 1 · 2018-06-06T09:22:44

Multiply the binomials to see the coefficients. The leading coefficient is: $- 6$ $-6$ .

Explanation:

The leading coefficient is the number in front of the variable with the highest exponent.

Multiply the 2 binomials (using FOIL):
$y = (2 x + 1) (- 3 x + 4)$ $y=(2x+1)(-3x+4)$
$y = - 6 x^{2} + 8 x - 3 x + 4$ $y=-6x^2+8x-3x+4$
$y = - 6 x^{2} + 5 x + 4$ $y=-6x^2+5x+4$

The highest power is $x^{2}$ $x^2$ , so the leading coefficient is: $- 6$ $-6$

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What is the leading coefficient of y=(2x+1)(-3x+4) ?

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