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Alex
3 years ago
4

Complete the steps to factor 56x2 – 8x – 7x 1 by grouping. Group pairs of terms with common factors. (56x2 – 8x) (–7x 1) Factor

the GCF from each group. 8x(7x – 1) –1(7x – 1) Use the distributive property. What is the factorization of the polynomial? (8x – 1)(7x – 1) (8x 1)(7x – 1) (8x 7x)(1 – 1).
Mathematics
1 answer:
krek1111 [17]3 years ago
4 0

Grouping is done based on the distributive property of multiplication over addition. The factorized form of given polynomial is (8x-1)(7x-1)

<h3>What is distributive property of multiplication over addition?</h3>

Suppose a, b and c are three numbers. Then we have:

a(b + c) = a\times b + a\times c

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

The given polynomial is 56x^2 - 8x - 7x + 1\\

It can be grouped and factored as:

56x^2 - 8x - 7x + 1 = 8x \times 7x - 8x \times 1 - 7x + 1\\56x^2 - 8x - 7x + 1  = 8x(7x - 1) - 1(7x -1 )\\56x^2 - 8x - 7x + 1  = (7x - 1)(8x - 1) = (8x-1)(7x-1)

Thus,

The factorized form of given polynomial is (8x-1)(7x-1)

Learn more about factors of a polynomial here:

brainly.com/question/16078564

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Higher prices and fewer choices.

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From the question, the students to be chosen must be selected from a group of eight boys and twelve girls. This means that the total number of students that these two students must be chosen from is:

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