Question

h(x)=6x²-7x +1 f(x) = 5x - 7 Multiply the polynomials and find the degree of the resultant polynomial.

Answer 1

multiply the functions and add the like terms

Answer 2

$\bf \LARGE \it Hey \: User!!!$

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.

$\bf \LARGE \it Cheers!!!$