Question

h(x)=6x²-7x+1 ; f(x)=5x-7
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Answer 1

Answer:

given :-

h(x) = 6x² - 7x + 1

f(x) = 5x - 7

according to the question, we have to find the degree of the resultant polynomial after multiplying both the polynomials.

= (5x - 7)(6x² - 7x + 1)

= [(5x × 6x²) - (5x × 7x) + (5x × 1)] - [(7 × 6x²) - (7 × 7x) + (7 × 1)]

= (30x³ - 35x² + 5x) - (42x² - 49x + 7)

= 30x³ - 35x² - 42x² + 5x + 49x + 7

= 30x³ - 77x² + 54x + 7

we know that the degree of a polynomial is the highest power in the given polynomial.

here 3 is the highest power. so 3 is the degree of the polynomial.