what is the GCF of the set of monomials 70,40?

Answer 1

OK!

Factor each:

40= 2*2*2*5

70= 2*5*7

Fine the common factors: 2*5 =10

Done!

Answer 2

GCF = greatest common factor

By observation: 10

By calculation:

Split into prime factors

70 = 2 x 5 x 7
40 = 2 x 2 x 2 x 5

Take the highest common factor that appears in both

= 2 x 5 = 10

Answer 3

88x^3 y , 40x^2y^2, 32x^2 y are all divisible by 8, and the all are divisible by x^2y. hence, their GCF is 8x^2y. Factoring polynomials a million) x^2 - 3x - 28. because of the fact the consistent time era in it is detrimental, all of us be responsive to that the components will take the type (x + a) * (x - b). we could desire to discover components a & b of -28 that fulfill a - b = -3. The pairs of components of 28 are (a million,28), (2,14), (4,7). we are in a position to work out that (4,7) fulfill the a - b = -3 requirement. hence, x^2 - 3x - 28 = (x + 4) * (x - 7). 2) 16x^2 - 25. it is in many cases rewritten as (4^2)(x^2) - 5^2. whenever you spot an equation of the type (c^2)(x^2) - d^2, the components constantly take the type (cx + d) * (cx - d). (quite in many cases c=a million, yet no longer hence). Having rewritten the unique polynomial, that's now straightforward to perceive c & d: c = 4, d = 5. hence, 16x^2 - 25 = (4x + 5) * (4x - 5). that's beneficial to multiply this returned to persuade your self that the intermediate words do cancel out. 3) 9x^2 - 14x + 4. won't be in a position to be factored. 4) 8x^2 + 20x - forty 8 First, all the words have a elementary ingredient of four. So permit's rewrite your polynomial as 4(2x^2 + 5x - 12) Now we are in a position to work out the terrific answer will take the type 4(2x + m)(x + n), remembering that one in each of m or n will could be a detrimental type. 2n + m = 5, and m*n = -12. the components of -12 that fulfill the two a variety of equations are m = -3 and n = 4. (verify this for your self) hence, 8x^2 + 20x - forty 8 = 4 * (2x -3) * (x + 4)

Answer 4

factor the numbers
70 40
1 70 1 40
2 35 2 20
5 14 4 10
7 10 5 8

what is the biggest number on each list?

Answer 5

GCF(70, 40) = 10
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Answer 6

70 = 2 x 5 x 7


40 = 2 x2 x2 x 5

The greatest common factor is 2 and 5

2 x 5 = 10

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Answer 7

Gcf Of Monomials