Mathematics
Find the values of the following polynomials at the indicated values of the variables.
(i) 5x2 – 3x + 7 if x = 1
(ii) 4t3 – t2 + 6 if t = a
Polynomials
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Answer
(i) 5x2 – 3x + 7 if x = 1
Substituting x = 1 in the polynomial:
= 5(1)2 – 3(1) + 7
= 5(1) – 3 + 7
= 5 – 3 + 7
= 9
∴ Value of the polynomial when x = 1 is 9.
(ii) 4t3 – t2 + 6 if t = a
Substituting t = a in the polynomial:
= 4(a)3 – (a)2 + 6
= 4a3 – a2 + 6
∴ Value of the polynomial when t = a is 4a3 – a2 + 6.
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