Question

Find the GCF of the terms of the polynomial.
26x² + 34x^4

A. x²
B. 26x²
C. 2x^4
D. 2x²

Answer 1

the answer choice is d because the the greatest exponent is 4 but you cant take 4 exponents out of 2 . Both numbers are divisible by $2 x^{2}$ which would make the answer $13+17 x^{2}$ 

Answer 2

26x²: 13 · 2 · x · x
34x⁴: 17 · 2 · x · x

GCF: 2x²

26x² + 34⁴
2x²(13) + 2x²(17x²)
2x²(13 + 17x²)

The answer is equal to D.