Question

Check weather (x+7) is a factor of (x^2+4x-24x) give reason

Answer 1

Step-by-step explanation:

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Use the Factor Theorem to determine whether x – 1 is a factor of

f (x) = 2x4 + 3x2 – 5x + 7.

For x – 1 to be a factor of f (x) = 2x4 + 3x2 – 5x + 7, the Factor Theorem says that x = 1 must be a zero of f (x). To test whether x – 1 is a factor, I will first set x – 1 equal to zero and solve to find the proposed zero, x = 1. Then I will use synthetic division to divide f (x) by x = 1. Since there is no cubed term, I will be careful to remember to insert a "0" into the first line of the synthetic division to represent the omitted power of x in 2x4 + 3x2 – 5x + 7:

completed division: 2 2 5 0 7

Since the remainder is not zero, then the Factor Theorem says that:

x – 1 is not a factor of f (x).

Answer 2

Answer:

Given 7×11×13+13

=13×(7×11+1)=3×78

This number is multiple of two integers.Hence it has more than two factors.Hence it is a composite number.

similarly in

7×6×5×4×3 ×2×1+5

=5(7×6×4×3 ×2×1+1)=5×1009

This number is multiple of two integers.Hence it has more than two factors.Hence it is a composite number.