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If x + 4 is a factor then it must divide the whole equation.
So, x + 4 = 0.
x = -4 is a root.
Upon solving p(x) = 0
by putting value of x as -4
4(-4)³ -b(-4)² -7(-4) +372 = 0
-256 + 16b + 28 +372 = 0
16b + 144 = 0
16b = -144
b = -9
So, your answer is -9.
Thank you.
So, x + 4 = 0.
x = -4 is a root.
Upon solving p(x) = 0
by putting value of x as -4
4(-4)³ -b(-4)² -7(-4) +372 = 0
-256 + 16b + 28 +372 = 0
16b + 144 = 0
16b = -144
b = -9
So, your answer is -9.
Thank you.
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