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

1 Answer
Math Tutor
Jun 6, 2018

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

Explanation:

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

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

The highest power is #x^2#, so the leading coefficient is: #-6#

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