Question

plz ans this question​

Answer 1

Solution

Given :-

• polynomial, (1+7x)² + (49x² - 1)

Find :-

• One factor of given polynomial

Explanation

Using Formula

★ (a² - b²) = (a - b)(a + b)

So,

==> (1+7x)² + (49x² - 1)

==> (1 + 7x)² + [ (7x)² - 1²)]

Using Formula

==> ( 1 + 7x)² + [ (7x+1)(7x-1)]

Take (1+7x) common

==> (1+7x) [(1+7x)+(1-7x)]

==> (1+7x) [ 1 + 7x + 1 - 7x ]

==> (1 + 7x) [ 1 + 1 ]

==> (1 + 7x) ( 2)

Or,

==> 2 . (1 + 7x)

Hence

• First factor be (1+7x)

Since

• Your answer will be option number (2).

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