Question

Factorise fully: 4X^2+28X^3

Answer 1

Answer:

4x^2(1+7x)

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Answer 2

4X²+28X³ = 2²X²(1 + 7X)

Given:

• 4X²+28X³

To Find:

• Factors

Solution:

• Factorization is finding factors which when multiplied together results in the original number.
• "Prime Factorization is finding prime numbers  which when multiplied together results in the original number"
• Prime number is a natural number which has only two factors one and number itself.  (e.g. , 2 , 3 , 5 , 7 .... )

Step 1

Prime Factorize 4

4 = 2 × 2  

Step 2

Factorize X²

X² = X × X  

Step 3

Prime Factorize 28

28 = 2 × 2 × 7

Step 4

Factorize X³

X³ = X × X  × X

Step 5

Taking common Factors in 4X²+28X³

2 × 2  ×  X × X   + 2 × 2 × 7  ×  X × X  × X

= 2 × 2  ×  X × X ( 1  + 7  ×  X)

= 2²X²(1 + 7X)

4X²+28X³ = 2²X²(1 + 7X)

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