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Lynna [10]
3 years ago
7

What is the greatest common factor of the terms in the polynomial 12x4 + 2x3 –30x2? x x2 2x 2x2

Mathematics
2 answers:
svlad2 [7]3 years ago
7 0

Answer:

Option (4) is correct.

Greatest common factor of the given polynomial 12x^4+2x^3-30x^2   is 2x^2

Step-by-step explanation:

given polynomial 12x^4+2x^3-30x^2

We have to find the greatest common factor of the terms in the given  polynomial.

Greatest common factor is the largest number that is a factor of the each given term.

Consider the given polynomial 12x^4+2x^3-30x^2

Here , the polynomial has three terms,

Prime factorization of given terms are,

12x^4=2\cdot 2 \cdot 3 \cdot x \cdot x \cdot x \cdot x\\\\2x^3=2 \cdot x\cdot x\cdot x\\\\\-30x^2=-2 \cdot 3\cdot 5\cdot x\cdot x

Thus, Greatest common factor 2x^2

Thus, Greatest common factor of the given polynomial 12x^4+2x^3-30x^2   is 2x^2

Thus, option (4) is correct.

Phoenix [80]3 years ago
4 0
12x^4 + 2x^3 - 30x^2

to find the GCF, lets first look at the coefficients.....the GCF of 12,2,and 30 is 2.

as for the variables....pick the one with the smallest exponent...and that would be x^2

so the GCF of this polynomial is 2x^2 <=
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Step-by-step explanation:

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What is the LCM of x^2+5 and x^2+10x+25?
avanturin [10]

Answer:

(x+5)²(x²+5)

Step-by-step explanation:

Given two functions x²+5 and x²+10x+25, to get their Lowest common factor, we need to to first factorize x²+10x+25

On factorising we have:

x²+5x+5x+25

= x(x+5) +5(x+5

= (x+5)(x+5)

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The LCM can be calculated as thus

| x²+5, (x+5)²

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The factors of both equation are x+5 × x+5 × x²+5

The LCM will be the product of the three functions i.e

(x+5)²(x²+5)

This hives the required expression.

5 0
3 years ago
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