Question

if -5 and 7 are zeroes of x4-6x3-26x2+138x-35 find other zeroes

Answer 1

Answer:

split the middle term

as this way we are able to find

if satisfy like and follow

Answer 2

The data given in the question is -5 and 7 are zeroes of the equation

${x}^{4} - 6 {x}^{3} - 26 {x}^{2} + 138x - 35$

we have to find the other zeroes.

The zeroes of the equation is the factor of that equation.

x=-5

x+5=0

x=7

x-7=0

so (x+5) and (x-7) are the factors.

on multiplying these two we get

${x}^{2} - 2x - 35$

on dividing the entire equation with the above factor we get other zero.

${x}^{2} - 4x + 1$

The detailed division is explained above.

Therefore the zeroes are -5,7,

${x}^{2} - 4x + 1$

$x + 5$

$x - 7$

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