# How do you use the remainder theorem to see if the b-7 is a factor of b^4-8b^3-b^2+62b-34?

Sep 22, 2016

b - 7 is not a factor of said equation.

#### Explanation:

Here b - 7 = 0. So, b = 7. now put the value of b i.e. 7 in equation
${b}^{4} - 8 {b}^{3} - {b}^{2} + 62 b - 34$. If the equation becomes 0, then b - 7 will be one of the factor.
Hence,
${7}^{4} - 8 \cdot {7}^{3} - {7}^{2} + 62 \cdot 7$ - 34
= 2401 - 2744 - 49 + 434 - 34
= 2835 - 2827
= 8
Therefore b - 7 is not a factor of said equation.